61. Chapter 5: Topology Common physical topologies for computer networks are introduced. The advantages and disadvantages of the linear bus, star, starwired ring, and tree topologies are discussed http://www.fcit.usf.edu/network/chap5/chap5.htm

What is a Topology? The physical topology of a network refers to the configuration of cables, computers, and other peripherals. Physical topology should not be confused with logical topology which is the method used to pass information between workstations. Logical topology was discussed in the Protocol chapter . Main Types of Physical Topologies The following sections discuss the physical topologies used in networks and other related topics. Linear Bus Star Tree (Expanded Star) Considerations When Choosing a Topology ... Summary Chart Linear Bus A linear bus topology consists of a main run of cable with a terminator at each end (See fig. 1). All nodes (file server, workstations, and peripherals) are connected to the linear cable. Fig. 1. Linear Bus topology Advantages of a Linear Bus Topology Easy to connect a computer or peripheral to a linear bus. Requires less cable length than a star topology. Disadvantages of a Linear Bus Topology Entire network shuts down if there is a break in the main cable. Terminators are required at both ends of the backbone cable.

62. Links To Low-dimensional Topology: 3-manifolds Links to low-dimensional topology resources. http://www.math.unl.edu/~mbrittenham2/ldt/3mfld.html

General Conferences Pages of Links Knot Theory ... Home pages Three-manifolds MSRI has made available, as streaming video, many of the talks that took place at MSRI in the last few years, including the recent KirbyFest. You will need a copy of RealPlayer (if you don't already have one) in order to watch the video; the accompanying slides are much more low-tech. Matt Brin has written some notes on Seifert-fibered 3-manifolds I have written some notes (just under 100 pages) on foliations of 3-manifolds. They can be downloaded either as a (400K) Dvi file or as a (640K) Postscript file. Unfortunately, these files do not contain the figures, which can make them very hard to read, especially towards the end. Write and I'll send you the firgures. I am in the process of putting together a WWW page on the Poincare conjecture , based on a talk I gave at NMSU on the subject. You can go take a look at what I've put into it so far. One of these days I'll finish it! Tsuyoshi Kobayashi has posted his notes from the talks at the 1997 Georgia Topology Conference, as jpeg files.

63. What Is Topology? An introductory essay by Neil Strickland, University of Sheffield. http://xtsunxet.usc.es/oubina/Wurble.htm

What is topology? Topologists are mathematicians who study qualitative questions about geometrical structures. We do not ask: how big is it? but rather: does it have any holes in it? is it all connected together, or can it be separated into parts? A commonly cited example is the London Underground map. This will not reliably tell you how far it is from Kings Cross to Picadilly, or even the compass direction from one to the other; but it will tell you how the lines connect up between them. In other words, it gives topological rather than geometric information. Again, consider a doughnut and a teacup, both made of BluTack. We can take one of these and transform it into the other by stretching and squeezing, without tearing the BluTack or sticking together bits which were previously separate. It follows that there is no topological difference between the two objects. Consider the problem of building a fusion reactor which confines a plasma by a magnetic field. Neil Strickland

64. Home Page Of Misha Kapovich University of Utah. Low-dimensional geometry and topology. http://www.math.utah.edu/~kapovich/

65. Steve Ferry's Home Page Geometric and general topology. Includes survey articles. http://math.rutgers.edu/~sferry/

Steve Ferry's Home Page Department of Mathematics, Rutgers University Hill Center, Busch Campus Piscataway, NJ 08854-8019 Phone: (732)-445-2390 ext 3484 Fax: (732)-445-5530 Email: sferry@math.rutgers.edu Office Hours: 708 Hill W 3:20-4:40, Th 3:20-4:40 Links MA251 (old, for reference only) MA491 (Problem solving seminar) Rutgers Topology/Geometry Seminar Jeff Weeks' topology and geometry software ... Paul Baum sings the BC Blues Steve's Online Preprints Abstract Stable compactifications of polyhedra 400K Download Abstract Limits of polyhedra in Gromov-Hausdorff space 485K Download Abstract On the Higson-Roe Corona (with A. N. Dranishnikov) 560K Download Abstract A survey of Wall's finiteness obstruction (with A. Ranicki) 656K Download Abstract Topology of homology manifolds 639K Download Abstract Epsilon-delta surgery over Z Download Abstract Desingularizing homology manifolds (with Bryant, Mio, and Weinberger) Download Abstract An etale approach to the Novikov Conjecture Download Abstract Bounded rigidity of manifolds and asymptotic dimension growth Download Abstract Volume Growth, De Rham Cohomology and the Higson Compactification

66. What Is Topology? - A Word Definition From The Webopedia Computer Dictionary This page describes the term topology and lists other pages on the Web where you can find additional information. http://webopedia.internet.com/TERM/T/topology.html

67. Brian Sanderson's Homepage Geometric topology. Includes computations with knots and surfaces. http://www.warwick.ac.uk/~maaac/

Brian Sanderson's Homepage I am a mathematician emeritus at the Mathematics Institute of the University of Warwick . Here is the list of some of my my publications Knot Theory Knot Theory Lectures This site hopes to be a complete knot theory atlas, one day History of Knot theory Guardian Science article March 8 2001 on unknotting moves. The Open Directory - Knot Theory Is string theory in knots? The KnotPlot Site Knot diagrams created from their Dowker-Thistlethwaite code Morwen's Home Page Atlas of oriented knots and links Knots on the web (Peter Suber) Celtic Knots Seven knots with seven crossings Knots and enzyme action on DNA strings Knot Theory from Mega-Math The not knot video Lou Kauffman Knot Theory from Eric Weisstein's World of Mathematics Wikipedia entry Exhibition of knots at Bangor. Brighton Lecture June 99 Knot Theory " search on: All the Web AltaVista Amazon AOL Search ... Yahoo Papers with Roger Fenn and Colin Rourke Trunks and Classifying Spaces Published by Applied Categorical Structures Abstract only An Introduction to Species and the rack space James bundles and applications Papers with Colin Rourke The compression theorem A Java animation showing a vector field straightening.

68. Colin Rourke's WWW Homepage University of Warwick. Geometric topology papers and resources. http://msp.warwick.ac.uk/~cpr/

Colin Rourke's WWW Homepage FTP link Cosmology paper Godel's Theorem Elementary Mechanics Test ... Spot the difference - 2 Hello, and welcome to my homepage. I'm a topologist, in other words I am interested in fundamental properties of spaces, though recently my interests have spread to include group theory, singularity theory and cosmology. I've been a member of the Mathematics Institute of the University of Warwick since 1968. Before that I was at the Princeton Institute for Advanced Study and Queen Mary College, London. I've also worked at Madison, Wisconsin and, for several years, at the Open University, where I helped rewrite the mathematics course. A good deal of my work has been in collaboration with Brian Sanderson who has been at Warwick since its foundation in 1966 which is when we started collaborating. I've also collaborated a good deal with Roger Fenn and the three of us have an longstanding project to understand knots and links in codimension 2 using racks. My students include David Stone, who is now at Brooklyn College, New York; Sandro Buoncristiano who is now at Rome; Jenny Harrison now at Berkeley, California; Hamish Short who is at Marseille, France; Daryl Cooper at Santa Barbara, California; Gena Cesar de Sa and Eduardo Rego both at Oporto, Portugal; Sofia Lambropoulou at Athens, Greece; and Bert Wiest at Rennes, France. I am a founding editor of Geometry and Topology and Algebraic and Geometric Topology (the other founding editors for GT being John Jones

69. Topology topology is a branch of mathematics, an extension of geometry. topology begins with a consideration of the nature of space, investigating both its fine structure and its global http://www.sciencedaily.com/articles/t/topology.htm

Science Reference Share Blog Print Email Bookmark Topology Topology is a branch of mathematics, an extension of geometry. See also: Astronomy ESA Computer Modeling Mathematics ... Mathematical Modeling Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. Topology builds on set theory, considering both sets of points and families of sets. The word topology is used both for the area of study, and for a family of sets with certain properties described below. Of particular importance in the study of topology are functions or maps that are continuous. These functions stretch space without tearing it apart or sticking distinct parts together. For more information about the topic Topology , read the full article at Wikipedia.org , or see the following related articles: Probability theory read more Geometry read more ... read more Note: This page refers to an article that is licensed under the GNU Free Documentation License . It uses material from the article Topology at Wikipedia.org. See the

70. AUtopomathServer topology and its Neighborhood. http://topo.math.auburn.edu/

Math and Stat COSAM AU main AU calendar ... Grad School Department of Mathematics and Statistics Auburn University, AL 36849-5310 phone: 334 844 4290 fax: 334 844 6555

71. 54: General Topology Introduction. topology is the study of sets on which one has a notion of closeness enough to decide which functions defined on it are continuous. http://www.math.niu.edu/~rusin/known-math/index/54-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 54: General topology Introduction More formally, a topological space is a set X on which we have a topology a collection of subsets of X which we call the "open" subsets of X. The only requirements are that both X itself and the empty subset must be among the open sets, that all unions of open sets are open, and that the intersection of two open sets be open. This definition is arranged to meet the intent of the opening paragraph. However, stated in this generality, topological spaces can be quite bizarre; for example, in most other disciplines of mathematics, the only topologies on finite sets are the discrete topologies (all subsets are open), but the definition permits many others. Thus a general theme in topology is to test the extent to which the axioms force the kind of structure one expects to use and then, as appropriate, introduce other axioms so as to better match the intended application. For example, a single point need not be a closed set in a topology. Does this seem "inappropriate"? Then perhaps you are envisioning a special kind of topological space, say a a metric space. This alone still need not imply the space looks enough like the shapes you may have seen in a textbook; if you really prefer to understand those shapes, you need to add the axioms of a manifold, perhaps. Many such levels of generality are possible.

72. The Kenzo Program. A computer program for computational algebraic topology. http://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/

Overview. The Kenzo program is the last version (16000 Lisp lines, July 1998) of the CAT (= Constructive Algebraic Topology) computer program. Kenzo is also the name of my beloved cat . The Kenzo program is a joint work with Xavier Dousson. The previous version EAT (May 1990) was a joint work with Julio Rubio.The Kenzo documentation was entirely written by Yvon Siret. An updated version (1-1-7, October 11, 2008) of the program works with: GNU-Clisp change-class ). Clisp is a GNU-free program, a little slow, but this is not very important in most applications. ; this last version is quite convenient, about two times faster than Clisp. LispWorks-5 S Z is not reachable with this free version. The Kenzo program is significantly more powerful than EAT, from several points of view. On one hand, for the computations which could be done with the EAT program, the computing times are divided by a factor generally between 10 and 100. The reasons are multiple and it is not obvious to decide what the most important are. Some are strictly technical; for example the numerous multi-degeneracy operators are now coded with a unique integer, using an amusing binary trick: various tests show much progress has been obtained in this way. Other reasons are strictly mathematical; for example another choice for the Eilenberg-Zilber homotopy operator leads in the Kenzo program to Szczarba's universal twisting cochain; in the EAT program we used Shih's universal twisting cochain;

73. Topology - Definition And Meaning From Wordnik topology Topographic study of a given place, especially the history of a region as indicated by its topography. http://www.wordnik.com/words/topology

Sign up! Sign in Zeitgeist Word of the day ... Random word Username Password ( Forgot? or Using Facebook Connect logs you in to Wordnik whenever you are logged in to Facebook. Not a member yet? Sign up for an account topology Add to favorites Add to a list Link to this word [x] ... Tweet Definitions Thesaurus Examples Pronunciations Comments (1) topology in [x] American Heritage Dictionary (4 definitions) –noun Topographic study of a given place, especially the history of a region as indicated by its topography. Medicine The anatomical structure of a specific area or part of the body. Mathematics The study of the properties of geometric figures or solids that are not changed by homeomorphisms, such as stretching or bending. Donuts and picture frames are topologically equivalent, for example. Computer Science The arrangement in which the nodes of a LAN are connected to each other. Century Dictionary (3 definitions) –noun The study and description of the localities in a particular district. The art or method of assisting the memory by associating the objects to be remembered with some place which is well known.

74. British Topology Home Page A source of pointers to topology-related sites, including archives and conference announcements. http://www.maths.gla.ac.uk/~ajb/btop.html

Number of non-local hits since 26 August 1997 The British Topology Home Page Rotating Immortality - a Möbius Band in the form of a Trefoil Knot by John Robinson with graphics by Ronnie Brown and Cara Quinton. Borrowed from `Symbolic Sculptures and Mathematics' This site is intended to act as a convenient source of pointers to Topology-related sites, including archives and conference announcements. It is not intended to be part of a British archive as such, but pointers to useful sites will be included to form a `nonlocalised' archive. Although intended mainly for British and general European use, it will include references to other parts of the world. To have items included, either email them to me or (preferably) send addresses of existing web documents. Conference notices and other items with a finite lifetime will normally be removed when the advertised events have occurred. Please let me know of any errors or links that you would like to see included. I would be grateful for comments on the structure and contents of this site. Anyone wishing to set up and maintain a subsidiary page of this site is encouraged to do so. Andrew Baker email Topologists' Home Pages - includes the Database of Topologists Topology Photo Gallery Topology groups Topology seminars and other regular activities ... Conferences and meetings on Topology and related topics This is now maintained by Sarah Whitehouse to whom all items for inclusion should be sent Topology resources Past and future British Topology Meetings Some comments by Frank Adams

75. Topology News And Other Resources | ZDNet Collection of news articles, blog posts, white papers, case studies, videos and comments relating to topology http://www.zdnet.com/topics/topology

document.cookie='MAD_FIRSTPAGE=1;path=/;domain=zdnet.com'; ZDNet Search All of ZDNet Reviews Whitepapers Downloads Home Reviews Downloads White Papers ... Site Assistance Follow via Twitter Facebook Email US Edition ZDNet is available in the following editions: Australia Asia China France ... United Kingdom Companies Hardware Software Mobile Security Research Special Coverage Amazon Apple Cisco Dell ... Podcasts Special Reports Holiday Tech Gift Guide Gadget gift ideas and picks by the ZDNet Reviews experts you trust. Includes laptops, desktops,... Internet Explorer 9 It's the most ambitious browser release Microsoft has ever undertaken. Microsoft Windows 7 Microsoft's Windows 7 arrived in late 2009 and kicked off a PC upgrade cycle that's expected to... Hot Topics Microsoft Windows Phone 7 Net Neutrality RIM BlackBerry Apple iPad ... Topics Follow via: RSS Email Alert topology Results Related Tags Microsoft TechNet (4 results) Webcast (4 results) Microsoft Corp. (3 results) Mobile (3 results) Networking (3 results) Security (3 results) Software (3 results) (2 results) Enterprise Software (2 results) Groupware (2 results) Marketing (2 results) Microsoft SharePoint (2 results) Network (2 results) Cisco Systems Inc.

76. TTT On WWW The Transpennine topology Triangle is a topology seminar partially supported by the London Mathematical Society with vertices at Leicester, Manchester and Sheffield. http://www.greenlees.staff.shef.ac.uk/ttt/ttt.html

Transpennine Topology Triangle Homepage The Transpennine Topology Triangle is a topology seminar partially supported by the London Mathematical Society with vertices at Leicester, Manchester and Sheffield. Next vertex: TTT75: Postdoc and postgrad start of year meeting Sheffield, October 21st. Speakers include David Barnes (Sheffield), Alastair Darby (Manchester), Harry Ullman (Sheffield), Nick Gurski (Sheffield) TTT76: Leicester (Thursday 18th November) Speakers include David Fletcher (Leicester) and Hadi Zare (Manchester) Organizers John Greenlees (Sheffield) John Hunton (Leicester) Nige Ray (Manchester) TTT members' homepages Francis Clarke's Homepage Peter Eccles's Homepage John Greenlees's Homepage John Hunton's Homepage ... Gareth Williams's Homepage Preprints John Greenlees's preprints Neil Strickland's preprints Mailing List If you need the mailing list, please apply to one of the organizers. Notes of talks Notes are available for talks from TTT38 (Clarke, Wood) and TTT40 (Wuethrich) Past events TTT1: Inaugural meeting and Adams Lectures Manchester (June 12-14 1995) TTT2: First Sheffield meeting Sheffield (2nd October 1995) TTT3: First Leicester meeting Leicester (27th November 1995) Manchester (12th February 1996) Sheffield (3-4 June 1996) Sheffield Strickland Sandwich meeting Manchester (11th November 1996) ... OU, Manchester (4th December 2007)

77. Topology Summary | BookRags.com topology. topology summary with 3 pages of encyclopedia entries, research information, and more. http://www.bookrags.com/research/topology-wsd/

78. Topology A M bius strip, an object with only one surface and one edge; such shapes are an object of study in topology. http://schools-wikipedia.org/wp/t/Topology.htm

Topology 2008/9 Schools Wikipedia Selection . Related subjects: Mathematics A Topology Greek topos , "place," and logos , "study") is a branch of mathematics that is an extension of geometry . Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. Topology builds on set theory , considering both sets of points and families of sets. The word topology is used both for the area of study and for a family of sets with certain properties described below that are used to define a topological space. Of particular importance in the study of topology are functions or maps that are homeomorphisms . Informally, these functions can be thought of as those that stretch space without tearing it apart or sticking distinct parts together. When the discipline was first properly founded, toward the end of the 19th century , it was called geometria situs Latin geometry of place ) and analysis situs Latin analysis of place ). From around 1925 to 1975 it was an important growth area within mathematics. Topology is a large branch of mathematics that includes many subfields . The most basic division within topology is point-set topology , which investigates such concepts as compactness connectedness, and

79. 2010 GTC, Athens, GA. May 20 - June 2, 2001. http://www.math.uga.edu/~topology/

2010 Georgia Topology Conference Wednesday May 19 - Sunday May 23, 2010 University of Georgia Athens, Georgia All talks are in Boyd 328, which is on the third floor of the Boyd Graduate Studies Building (at the corner of Soule St and DW Brooks Dr, and indicated with a green arrow and star An annual topology conference has been held at the University of Georgia since 1961. This year, the conference focuses on algebraic topology. Around half of the talks will be on the common theme of the Goodwillie-Weiss embedding calculus and its application to spaces of knots. Tom Goodwillie will give a series of 3 introductory talks on the embedding calculus at the graduate student level. Nick Kuhn will also give a series of introductory talks on periodic localization, generalized Tate cohomology, and infinite loopspaces. The following have agreed to speak at the conference. Mark Behrens (Massachusetts Institute of Technology) Andrew Blumberg (University of Texas) Ryan Budney (University of Victoria) Robert Ghrist (University of Pennsylvania) Tom Goodwillie (Brown University) Robin Koytcheff (Stanford University) Nicholas Kuhn (University of Virginia) Brian Munson (Wellesley College) Kristine Pelatt (University of Oregon) Dev Sinha (University of Oregon) Michael Shulman (University of Chicago) Victor Turchin (Kansas State University) Ismar Volic (Wellesley College) There is a limited amount of funding available for graduate students and recent PhDs. Please see the 'Support' section for more information.

80. 17th "Summer" Topology Conference Auckland, New Zealand; 14 July 2002. http://www.math.auckland.ac.nz/Topology-2002/

17th "Summer" Topology Conference Auckland, New Zealand 1-4 July, 2002 Welcome to the homepage for the 17th "Summer" Topology Conference, to be held in Auckland, New Zealand 1-4 July 2002. This will be the next in the Summer Topology Conference Series This page has been updated to contain information relevant to participants getting ready to come to Auckland. Click here for the old homepage Travel Directions All the conference activities will take place in the Mathematics/Physics building of Auckland University's City Campus. Click here for a map showing the location of the Maths/Physics building. If you do not see a red dot in that map, then please note that the Maths/Physics building is on Princes Street (in the center square of the map) close to the junction with Wellesley Street. Click here for directions for getting from the accommodation to the Maths Department. Our home during the conference will be the foyer on the first floor (note that this is not the same as the ground floor). Another conference will be based in the ground floor foyer, so please look out for the signs. Welcome Reception Sunday 30 June There will be a reception on Sunday 30 June from 4:30pm until 7:00pm, in the Maths/Physics building. A light buffet will be served. The reception is currently planned to be held in the ground floor foyer: however, this may be changed to the first floor foyer.

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