61. Surgery Bits And Pieces Assorted articles and minutia concerning Algebraic Surgery, assembled by Andrew Ranicki. http://www.maths.ed.ac.uk/~aar/surgery/index.htm

Surgery Bits and Pieces Biographical material Photos Surgery, algebraic and otherwise Books, papers, theses, notes etc.

62. Algebraic Topology Authors/titles Recent Submissions Title Points fixes des applications compactes dans les espaces ULC http://arxiv.org/list/math.AT/recent

arXiv.org math math.AT Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Algebraic Topology Authors and titles for recent submissions Fri, 29 Oct 2010 Thu, 28 Oct 2010 Wed, 27 Oct 2010 Tue, 26 Oct 2010 ... Mon, 25 Oct 2010 [ total of 10 entries: [ showing up to 25 entries per page: fewer more Fri, 29 Oct 2010 arXiv:1010.6039 (cross-list from math.DG) [ pdf ps other Title: A pull-back procedure of the Gromoll-Meyer construction Authors: Comments: 11 pages Subjects: Differential Geometry (math.DG) ; Algebraic Topology (math.AT); Geometric Topology (math.GT) Thu, 28 Oct 2010 arXiv:1010.5635 pdf ps other Title: The Segal conjecture for topological Hochschild homology of complex cobordism Authors: John Rognes Subjects: Algebraic Topology (math.AT) arXiv:1010.5633 pdf ps other Title: The topological Singer construction Authors: John Rognes Subjects: Algebraic Topology (math.AT) Wed, 27 Oct 2010 arXiv:1010.5269 pdf ps other Title: The Mayer-Vietoris Property in Differential Cohomology Authors: James Simons Dennis Sullivan Comments: 8 pages Subjects: Algebraic Topology (math.AT)

63. Poincaré Conjecture -- From Wolfram MathWorld A widely accessible statement of the Poincar Conjecture and its implications, with various links and references for further inquiry. http://mathworld.wolfram.com/PoincareConjecture.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... closed three-manifold is homeomorphic to the three-sphere (in a topologist's sense) , where a three-sphere is simply a generalization of the usual sphere to one dimension compact manifold is homotopy -equivalent to the -sphere iff it is homeomorphic to the sphere . The generalized statement reduces to the original conjecture for topology of manifolds Whitehead link ) to his own theorem. The case of the generalized conjecture is trivial, the case is classical (and was known to 19th century mathematicians), (the original conjecture) appears to have been proved by recent work by G. Perelman (although the proof has not yet been fully verified), was proved by Freedman (1982) (for which he was awarded the 1986 Fields medal was demonstrated by Zeeman (1961), was established by Stallings (1962), and was shown by Smale in 1961 (although Smale subsequently extended his proof to include all The Clay Mathematics Institute included the conjecture on its list of $1 million prize problems. In April 2002, M. J. Dunwoody produced a five-page paper that purports to prove the conjecture. However, Dunwoody's manuscript was quickly found to be fundamentally flawed (Weisstein 2002). A much more promising result has been reported by Perelman (2002, 2003; Robinson 2003). Perelman's work appears to establish a more general result known as the Thurston's geometrization conjecture , from which the Poincaré conjecture immediately follows (Weisstein 2003). Mathematicians familiar with Perelman's work describe it as well thought-out and expect that it will be difficult to locate any substantial mistakes (Robinson 2003, Collins 2004). In fact, Collins (2004) goes so far as to state, "everyone expects [that] Perelman's proof is correct."

64. Algebraic Topology Apr 7, 2009 Algebraic Topology. Download this Document for FreePrintMobileCollectionsReport Rated (1 Rating). Math book Algebraic Topology http://www.scribd.com/doc/14042623/Algebraic-Topology

65. MAT 539 -- Algebraic Topology A basic introduction to geometry/topology, such as MAT 530 and MAT 531. Thus prior exposure to basic point set topology, homotopy, fundamental group, covering spaces is assumed http://www.math.sunysb.edu/~sorin/topology/home.html

MAT 539 Algebraic Topology Instructor Sorin Popescu (office: Math 4-119, tel. 632-8358, e-mail sorin@math.sunysb.edu Prerequisites A basic introduction to geometry/topology, such as MAT 530 and MAT 531 Textbook Differential forms in algebraic topology , by Raoul Bott and Loring W. Tu, GTM , Springer Verlag 1982. The guiding principle of the book is to use differential forms and in fact the de Rham theory of differential forms as a prototype of all cohomology thus enabling an easier access to the machineries of algebraic topology in the realm of smooth manifolds. The material is structured around four core sections: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes, and includes also some applications to homotopy theory. Other recommended texts: Algebraic Topology: A first Course , W. Fulton, GTM , Springer Verlag 1995 Topology from the Differentiable Viewpoint , J. Milnor, U. of Virginia Press 1965 Algebraic Topology , A. Hatcher (on-line), Cambridge University Press, to appear Characteristic classes , J. Milnor and J. Stasheff, Princeton University Press 1974

66. Nullhomotopie.de - Charts Charts for modules over the odd-primary Steenrod Algebra, by Christian Nassau. In Postscript. http://www.nullhomotopie.de/charts/

charts Christian Nassau Navigation main projects secfg novikov ... files Cohomology charts All of these charts date back from around 2000, so if you're looking for new stuff you will probably be disappointed here. 2-primary stuff Description data 30 d/p 70 d/p pan The Sphere tar ps ps ps Ceta Cofibre of eta tar ps ps ps Cnu Cofibre of nu tar ps ps ps Csigma Cofibre of sigma tar ps ps ps An A-Module structure on A(1) tar ps ps ps An A-Module structure on A(2) tar ps ps ps ... ps Double of A1 tar ps ps ps quest Questionmark complex tar ps ps ps Image of doubling map tar ps ps ps tmf Topological modular forms tar ps ps ps tmf-hur Algebraic tmf Hurewicz image tar ps ps ps Here's a big image that shows Ext up to dimension 210. There's also a page that shows timing information for the computation of the resolution, some awkward datafiles for root invariants the algebraic tmf-based Hurewicz map , and There is also a telephone-book-like-thing ahss.dvi.gz , with sources ahss.tex.gz

67. Algebraic Topology And Distributed Computing A Primer File Format PDF/Adobe Acrobat Quick View http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.67.9562&rep=rep1&am

68. Algebraic Topology Authors/titles "new.AT" Submissions received from Wed 6 Oct 10 to Thu 7 Oct 10, announced Fri, 8 Oct 10 http://arxiv.org/list/math.AT/new

arXiv.org math math.AT Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Algebraic Topology New submissions Submissions received from Wed 27 Oct 10 to Thu 28 Oct 10, announced Fri, 29 Oct 10 New submissions Replacements [ total of 4 entries: [ showing up to 2000 entries per page: fewer more New submissions for Fri, 29 Oct 10 arXiv:1010.6039 pdf ps other Title: A pull-back procedure of the Gromoll-Meyer construction Authors: Comments: 11 pages Subjects: Differential Geometry (math.DG) ; Algebraic Topology (math.AT); Geometric Topology (math.GT) Replacements for Fri, 29 Oct 10 arXiv:1005.4878 (replaced) [ pdf ps other Title: Azumaya Objects in Bicategories Authors: Niles Johnson Comments: 15 pages; minor corrections and clarified exposition in section 6 Subjects: Algebraic Topology (math.AT) ; Category Theory (math.CT); Rings and Algebras (math.RA) arXiv:1009.3622 (replaced) [ pdf ps other Title: The homotopy type of toric arrangements Authors: Luca Moci Simona Settepanella Comments: To appear on J. of Pure and Appl. Algebra. 16 pages, 3 pictures Subjects: Algebraic Topology (math.AT)

69. The Hopf Fibration Notes and images of the Hopf map from S3 to S2. http://www.mathematik.uni-bielefeld.de/birep/top/hopf/hopf-fib.htm

70. Algebraic Topology Algebraic Topology . Brief historical introduction . Although algebraic topology can be considered, by and large, as a creation of the 20th century, it has a long prehistory. http://www.maths.lth.se/matematiklu/personal/jaak/Alg-Top.html

Algebraic Topology Brief historical introduction Although algebraic topology can be considered, by and large, as a creation of the 20th century, it has a long pre-history. It is generally considered to have its roots in Euler's polyhedron theorem (1752). This is the relation $$ E+F=K+2$$ where $E$ is the number of vertices, $K$ the number of edges, and $F$ the number of faces. In the first half of this century many mathematicians defined homology for more and more extended classes of topological spaces. Thus, for instance singular homology was first defined by Lefschetz in 1933. Finally, in 1945, Eilenberg and Steenrod developed an axiomatic approach to homology. It turned out that within the class of all topological spaces the Eilenberg and Steenrod axioms uniquely characterize singular homology. A parallel development took place in homotopy. Thus, higher homotopy groups were defined by Hurewicz in 1935 and their properties were developed. In the 1950's several new concepts were invented such as cobordism and $K$-theory. The course will be based mainly on Greenberg and Harper's book quoted below.

71. ALGTOP-L, Algebraic Topology Listserv Includes information on subscribing, archives of past discussions, and links to home pages of algebraic topologists and other related resources. http://www.lehigh.edu/dmd1/public/www-data/algtop.html

ALGTOP-L, Algebraic Topology listserv This listserv began as a discussion group in July 1995, and was converted to an automated moderated listserv in Sept 2007. To join the listserv or use it, go to https://lists.lehigh.edu/mailman/listinfo/algtop-l The primary functions of this listserv are providing information about topology conferences and jobs, and serving as a forum for topics related to algebraic topology. This website also serves as an archive of links to websites related to algebraic topology. The Hopf archive is a preprint server for papers in algebraic topology. It is maintained by Mark Hovey. It has been largely replaced by the arXiv Information about conferences Messages posted to the Discussion Group 1998-Sept. 2007 . The postings to the listserv are archived on the listserv. Anyone, including nonmembers, can read them here To obtain a list of our subscribers' e-mail addresses, you must now join the listserv, where this information is readily available. Links to other sites related to algebraic topology (books, journals, tables, research groups, ongoing seminars, other sites) As a service for the nonspecialist, we have an

72. J. P. May: A Concise Course In Algebraic Topology J. P. May, A Concise Course in Algebraic Topology J. P. May A Concise Course in Algebraic Topology 254 pages, 117 line drawings 6 x 9 1999 http://www.press.uchicago.edu/cgi-bin/hfs.cgi/00/13911.ctl

73. Novikov Conjecture Home Page An archive of developments concerning the Novikov Conjecture and related problems in Algebraic Topology, General Topology, Geometry, Algebra, and Analysis. Maintained by Jonathan Rosenberg. http://www.math.umd.edu/users/jmr/NC.html

Novikov Conjecture Home Page The intended function of this home page is to keep you up-to-date on the latest developments concerning the Novikov Conjecture and related problems in topology, geometry, algebra, and analysis. Further contributions of all sorts are welcome. Please send them to Jonathan Rosenberg at jmr@math.umd.edu Bibliography on the Novikov Conjecture and related topics: This bibliography is based on the one in "A history and survey of the Novikov Conjecture" by Steve Ferry, Andrew Ranicki, and Jonathan Rosenberg. The original version appeared in volume 1 of "Novikov Conjectures, Index Theorems and Rigidity" (listed below under books) but we will try to update it regularly. To view the dvi file (approx. 80kb), click here . For a tar'ed dvi file (better suited for downloading), click here Some recent books: "Novikov Conjectures, Index Theorems and Rigidity," co-edited by Steve Ferry, Andrew Ranicki, and Jonathan Rosenberg, London Math. Soc. Lecture Notes, vols. 226 and 227 (approx. 380 pages each), Cambridge Univ. Press,

74. Algebraic Topology By Allen Hatcher - Download Here Algebraic Topology by Allen Hatcher free book at E-Books Directory - download here http://www.e-booksdirectory.com/details.php?ebook=57

75. Algorithms For The Fixed Point Property A survey of various algorithms used to determine if a given ordered set has the fixed point property, that is, whether it has a fixed point free order-preserving self-map. Algorithms using the methods of Algebraic Topology are compared with other techniques. http://www.csi.uottawa.ca/ordal/papers/schroder/FINSURVE.html

Next: Contents Algorithms for the Fixed Point Property e-mail: schroder@huajai.cs.hamptonu.edu July 29, 1996 Abstract. This survey exhibits various algorithms to decide the question if a given ordered set P has the fixed point property resp. if P has a fixed point free order-preserving self-map. While a depth-first search algorithm for a fixed point free map is easily written it is also quite inefficient. We discuss a reduction algorithm by Xia which can be used to speed up the search for a fixed point free self map. The ideas used in creating this algorithm show close connections to two problems: the decision whether an ordered set has a fixed point free automorphism and the decision whether a given r -partite graph has an r -clique. The latter two problems are shown to be NP-complete using the work of Goddard, Lubiw and Williamson. The problem to decide whether a given finite ordered set has a fixed point free order-preserving self map has recently been shown to be NP-complete, thus showing that the above close connection is not by accident. Retraction theorems leading to dismantling algorithms are another approach to the problem. We present the classical dismantling procedure by Rival and extensions by Fofanova, Li, Milner, Rutkowski and the author. These theorems give a polynomial algorithm to decide if an ordered set has the fixed point property for some nice classes of ordered sets (height 1, width 2), and structural insights for other classes (chain-complete ordered sets with no infinite antichains, sets of (interval) dimension 2). The related issue of uniqueness of cores gives an insight into Birkhoff's problem regarding cancellation of exponents. Walker's relational fixed point property for which the analogous problem has a very satisfying solution also is discussed.

76. Topology - Wikibooks, Collection Of Open-content Textbooks James Munkres, Elements of Algebraic Topology (1984) Joseph J. Rotman, An Introduction to Algebraic Topology (1988) Edwin Spanier, Algebraic Topology (1966) http://en.wikibooks.org/wiki/Topology

Topology From Wikibooks, the open-content textbooks collection This page may need to be reviewed for quality. Jump to: navigation search This book contains mathematical formulae that look better rendered as PNG General Topology is based solely on set theory and concerns itself with structures of sets. It is at its core a generalization of the concept of distance, though this will not be immediately apparent for the novice student. Topology generalizes many distance-related concepts, such as continuity, compactness, and convergence. For an overview of the subject of topology, please see the Wikipedia entry Contents Before You Begin Point - Set Topology Some Set Theory Introduction to Topology ... edit Before You Begin In order to make things easier for you as a reader, as well as for the writers, you will be expected to be familiar with a few topics before beginning. Real analysis Continuous Functions Set Theory Set Operations: Union, Intersection, Complement, De Morgan's laws , etc. Order Relations : Ordered Sets, Equivalence relations, Lattices Functions: Definition and Properties of Functions Cardinality : Finite, Countable, and Uncountable sets

77. Algebraic Topology | Define Algebraic Topology At Dictionary.com –noun Mathematics . the branch of mathematics that deals with the application of algebraic methods to topology, esp. the study of homology and homotopy. http://dictionary.reference.com/browse/algebraic topology?qsrc=2446

78. Algebraic K-Theory, Linear Algebraic Groups And Related Structures TMR Network Project. Network Coordinator Ulf Rehmann, Bielefeld http://www.mathematik.uni-bielefeld.de/K AG/

79. Greenberg M.j. Harper J.r. Algebraic Topology. A First Course Download Links Download links for greenberg mj harper jr algebraic topology. a first course. FileCatch Search for Shared Files. http://www.filecatch.com/?q=greenberg m.j. harper j.r. algebraic topology. a fir

80. 19: K-theory Encyclopedic reference for K-Theory in Dave Rusin s Mathematical Atlas. Includes a brief history along with various links to textbooks, reference works, and tutorials on the subject. http://www.math.niu.edu/~rusin/known-math/index/19-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 19: K-theory Introduction K-theory is an interesting blend of algebra and geometry. Originally defined for (vector bundles over) topological spaces it is now also defined for (modules over) rings, giving extra algebraic information about those objects. History Read Atiyah's, "K-Theory Past and Present" at here Applications and related fields Most of the geometric K-theory is treated with Algebraic Topology See also 16E20, 18F25 Subfields Grothendieck groups and K_0, see also 13D15, 18F30 Whitehead groups and K_1 Steinberg groups and K_2 Higher algebraic K-theory K-theory in geometry K-theory in number theory, see also 11R70, 11S70 K-theory of forms, see also 11EXX Obstructions from topology K-theory and operator algebras See mainly 46L80, and also 46M20 Topological K-theory, see also 55N15, 55R50, 55S25 Miscellaneous applications of K-theory K-Theory is the smallest of the 61 active areas of the MSC scheme: only 515 papers with primary classification 19-XX during 1980-1997. But the area 19-XX was only available as a primary classification for Math Reviews papers starting with MR96; hence the count above is an undercount of the true size of the field. (Even granting this, however, K-theory is a fairly small field.) Browse all (old) classifications for this area at the AMS.

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