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General Topology:     more books (100)
1. General Topology by Stephen Willard, 2004-02-27
2. Schaum's Outline of General Topology by Seymour Lipschutz, 1968-06-01
3. Encyclopedia of General Topology by K.P. Hart, Jun-iti Nagata, et all 2004-08-16
4. General Topology: Chapters 1-4 by Nicolas Bourbaki, 1998-09-18
5. General Topology by John Leroy Kelley, 2008-09-10
6. The General Topology of Dynamical Systems (Graduate Studies in the Mathematical Sciences, V. 1) by Ethan Akin, 1993-03-29
7. Foundations of General Topology by W.J. Pervin, 1964-12
8. Introduction to Topology: Third Edition by Bert Mendelson, 1990-07-01
9. A General Topology Workbook by Iain T. Adamson, 1995-11-29
10. Introduction to General Topology by George L. Cain, 2001-10-07
11. Counterexamples in Topology by Lynn Arthur Steen, J. Arthur Seebach Jr., 1995-09-22
12. General Topology by Waclaw Sierpinski, 2000-03-06
13. General Topology (Sigma Series in Pure Mathematics) by Ryszard Engelking, 1989-12
14. Modern General Topology (North-Holland Mathematical Library) by J.-I. Nagata, 1985-11-15

1. General Topology - Wikipedia, The Free Encyclopedia
In mathematics, general topology or pointset topology is the branch of topology which studies properties of topological spaces and structures defined on
http://en.wikipedia.org/wiki/General_topology
##### edit Definition
A topology is a pair ( X ,Σ) consisting of a set X and a collection Σ of subsets of X , called open sets, satisfying the following three axioms
• The union of open sets is an open set. The finite intersection of open sets is an open set. X and the empty set ∅ are open sets.
• ##### edit History
General topology grew out of a number of areas, most importantly the following:
• the detailed study of subsets of the real line (once known as the topology of point sets , this usage is now obsolete) the introduction of the manifold concept the study of metric spaces , esp.

2. General Topology
In mathematics, general topology or pointset topology is the branch of topology which studies properties of topological spaces and structures defined on them
http://pediaview.com/openpedia/General_topology
##### General topology
In mathematics general topology or point-set topology is the branch of topology which studies properties of topological spaces and structures defined on them. It is distinct from other branches of topology in that the topological spaces may be very general, and do not have to be at all similar to manifolds
##### Definition
A topology is a pair ( X ,Σ) consisting of a set X and a collection Σ of subsets of X , called open sets, satisfying the following three axioms
• The union of open sets is an open set. The finite intersection of open sets is an open set. X and the empty set ∅ are open sets.
• ##### History
General topology grew out of a number of areas, most importantly the following:
General topology assumed its present form around 1940. It captures, one might say, almost everything in the intuition of continuity , in a technically adequate form that can be applied in any area of mathematics.

3. General Topology At AllExperts
Branch of topology which studies elementary properties.
http://en.allexperts.com/e/g/ge/general_topology.htm
zDO=zis=1;zpid=zi=zRf=ztp=zpo=0;zdx=20;zfx=100;zJs=13 zi=1;zz='46860=1-1-1150;125125=2-1-12-1;120600=2-1-1250;11=1-1-1150;336280=2-1-1299;72890=2-1-1150';zx='3-1-1';zde=15;zdp=1440;zds=43200;zfp=0;zfs=0;zfd=100;zdd=20;zpb='';zhc='';zDO=1;zGR="ca-about-site_js";if(!this.zGL)zGL=5;zGTH=1;zAS=1 zGH="general topology history scope standard areas branches isbn spaces topological";zObT="General topology";zRad=5 zGRH=1 zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') zDO=0 AllExperts Encyclopedia Search
##### General topology: EncyclopediaBETA
Free Encyclopedia Index ... Questions and Answers zmhp('style="color:#fff"') Encyclopedia
##### Contents

4. General Topology - Slider
In mathematics, general topology or point set topology is the branch of topology which studies elementary properties of topological spaces and structures defined on them.
http://enc.slider.com/Enc/General_topology
Encyclopaedia

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##### General topology
In mathematics general topology or point set topology is the branch of topology which studies elementary properties of topological spaces and structures defined on them. It grew out of a number of areas, such as the detailed study of sets of points (as subsets of the real line , understood), the manifold concept, the metric spaces and the early days of functional analysis . It was codified, in much its form for the remainder of the twentieth century , around 1940. It captures, one might say, almost everything in the intuition of continuity , in a technically adequate form that can be applied in every area of mathematics. More specifically, it is in general topology that basic notions, such as: are defined and theorems about them are proved. Other more advanced notions also appear, but are usually related directly to these fundamental concepts, without reference to other branches of mathematics. Other main branches of topology are algebraic topology geometric topology , and differential topology . As the name implies, general topology provides the common foundation for these areas.

 5. General Topology A selection of articles related to General Topology general topology Encyclopedia Areas of mathematics. The aim of this page is to list all areas of modern mathematics, with ahttp://www.experiencefestival.com/general_topology

6. Category:General Topology - Wikipedia, The Free Encyclopedia
The main article for this category is General topology. In mathematics, general topology or point set topology is that branch of topology which studies properties of general
http://en.wikipedia.org/wiki/Category:General_topology
##### Category:General topology
From Wikipedia, the free encyclopedia Jump to: navigation search The main article for this category is General topology In mathematics general topology or point set topology is that branch of topology which studies properties of general topological spaces (which may not have further structure; for example, they may not be manifolds ), and structures defined on them.
##### Subcategories
This category has the following 8 subcategories, out of 8 total.
##### Pages in category "General topology"
The following 139 pages are in this category, out of 139 total. This list may not reflect recent changes ( learn more
##### D cont.

 7. General Topology By The SwissPedia, The Free Encyclopedia By Just Click Search General topology. The biggest multilingual freecontent encyclopedia on the Internet. Over 7 million articles in over 200 languages, and still growing.http://www.swisscorner.com/wiki.php?title=General_topology

 8. Math.com Store: Math Books: General Topology General Topology Textbook Buyback - Math Books - Math.com Store the best place to shop for math supplies.http://store.math.com/Books-1000-0486434796-General_Topology.html

9. General Topology At AllExperts
In mathematics general topology or pointset topology is the branch of topology which studies properties of topological space s and structures defined on them It is distinct from
http://www.associatepublisher.com/e/g/ge/general_topology.htm
zDO=zis=1;zpid=zi=zRf=ztp=zpo=0;zdx=20;zfx=100;zJs=13 zi=1;zz='46860=1-1-1150;125125=2-1-12-1;120600=2-1-1250;11=1-1-1150;336280=2-1-1299;72890=2-1-1150';zx='3-1-1';zde=15;zdp=1440;zds=43200;zfp=0;zfs=0;zfd=100;zdd=20;zpb='';zhc='';zDO=1;zGR="ca-about-site_js";if(!this.zGL)zGL=5;zGTH=1;zAS=1 zGH="general topology history scope standard areas branches isbn spaces topological";zObT="General topology";zRad=5 zGRH=1 zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') zDO=0 AllExperts Encyclopedia Search
##### General topology: EncyclopediaBETA
Free Encyclopedia Index ... Questions and Answers zmhp('style="color:#fff"') Encyclopedia
##### Contents

 10. General Topology | TripAtlas.com In mathematics, general topology or pointset topology is the branch of topology which studies properties of topological spaces and structures defined on them. It is distincthttp://tripatlas.com/General_topology

 11. General Topology In Encyclopedia General topology in Encyclopedia in Encyclopediahttp://www.tutorgig.com/ed/General_topology

 12. Math.com Store: Math Books: General Topology General Topology Textbook Buyback - Math Books - Math.com Store the best place to shop for math supplies.http://store.math.com/Books-1000-0923891552-General_Topology.html

13. General Topology - Definition
In mathematics, general topology or point set topology is that branch of topology which studies elementary properties of topological spaces and structures defined on them.
http://www.wordiq.com/definition/General_topology
##### General topology - Definition
In mathematics general topology or point set topology is that branch of topology which studies elementary properties of topological spaces and structures defined on them. It grew out of a number of areas, such as the detailed study of sets of points (as subsets of the real line , understood), the manifold concept, the metric spaces and the early days of functional analysis . It was codified, in much its form for the remainder of the twentieth century , around 1940. It captures, one might say, almost everything in the intuition of continuity , in a technically adequate form that can be applied in every area of mathematics. More specifically, it is in general topology that basic notions, such as: are defined and theorems about them are proved. Other more advanced notions also appear, but are usually related directly to these fundamental concepts, without reference to other branches of mathematics. Other main branches of topology are algebraic topology geometric topology , and differential topology . As the name implies, general topology provides the common foundation for these areas.

 14. General Topology Topics At Duck Duck Go Alexandroff extension In mathematical field of topology, the Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such a wayhttp://duckduckgo.com/c/General_topology

 15. General Topology - Discussion And Encyclopedia Article. Who Is General Topology? General topology. Discussion about General topology. Ecyclopedia or dictionary article about General topology.http://www.knowledgerush.com/kr/encyclopedia/General_topology/

16. Algebraic General Topology - Wikinfo
Algebraic general topology (AGT) is the theory of funcoids and reloids. It is called algebraic because there are algebraic operations on the sets of funcoids and reloids.
http://www.wikinfo.org/index.php/Algebraic_general_topology
##### From Wikinfo
Jump to: navigation search Algebraic general topology (AGT) is the theory of funcoids and reloids It is called algebraic because there are algebraic operations on the sets of funcoids and reloids. For example (generalized) continuousness is defined with algebraic formulas instead of bad old epsilon-delta notation. (See Algebraic General Topology for details.)
##### AGT as new field of research
During decades the development of general topology was stalled. It was said that general topology is dead meaning that nothing significantly new can be discovered in this field. Introduction of AGT revolutionaries general topology with a new field of research. At the time of writing this there are more than 17 open problems about funcoids and reloids , see Open Problem Garden Victor Porton pleads to nominate him for Abel Prize for the discovery of AGT.

17. KU Department Of Mathematics : General Topology
Departmental website for the University of Kansas Department of Mathematics.
http://www.math.ku.edu/research/research-areas/research-general_topology.html
##### Department of Mathematics

18. General Topology | The Jewish Week
Scholars beginning to challenge view that the rise of democratic values belongs solely to Western secular thought.
http://www.thejewishweek.com/general_topology
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##### Blogs

19. Algebraic General Topology And Math Synthesis - Replacement Of Mathematical Anal
Abstract topological objects expressing infinities with algebraic operations.
http://www.mathematics21.org/algebraic-general-topology.html
My homepage My math page My math news Donate for the research
##### Algebraic General Topology and Math Synthesis
I discovered Algebraic General Topology AGT ), a new field of math which will replace old General Topology. Mathematical Synthesis is how I call Algebraic General Topology applied to study of Mathematical Analysis. Please nominate me for Abel Prize. Please collaborate writing Filters on posets and generalization math book.
##### AGT articles
Funcoids and Reloids (PDF, draft)
Consider generalizations of proximity spaces and uniform spaces. Also in this article continuity is defined algebraically hiding old epsilon-delta notion under a smart algebra. Generalizes continuousness, uniform continuousness, and proximity-continuousness in one formula.
Convergence of funcoids (PDF, partial draft)
Defined the notion of convergence and limit for funcoids. Defined (generalized) limit of arbitrary (not necessarily continuous) functions under certain conditions.
Connectors and generalized connectedness (PDF, preprint)
Defined the notion of connectedness for special binary relations called connectors. This generalizes topological connectedness, path connectedness, connectedness of digraphs, proximal connectedness, and some other kinds of connectedness.

20. 54: General Topology
From Dave Rusin's Known Math collection.
http://www.math.niu.edu/~rusin/known-math/index/54-XX.html
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##### 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.

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