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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
##### General topology
Jump to: navigation search 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
##### edit 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.
##### edit Scope
More specifically, it is in general topology that basic notions are defined and theorems about them proved. This includes the following: Other more advanced notions also appear, but are usually related directly to these fundamental concepts, without reference to other branches of mathematics.

2. 54: General Topology
Thus a general theme in topology is to test the extent to which the axioms . Until 1958 an additional classification 56.0X was used for general topology.
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
##### 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.

3. Front: Math.GN General Topology
Preprints in general topology.
http://front.math.ucdavis.edu/math.GN
 Front for the arXiv Fri, 14 Mar 2008 Front math GN search register submit journals ... iFAQ math.GN General Topology Calendar Search Atom feed Authors: AB CDE FGH IJK ... U-Z Search Author Title/ID Abstract+ Category articles per page Show Search help Recent New articles (last 12) 14 Mar arXiv:0803.1947 SPM Bulletin 24. Boaz Tsaban (ed. ). math.GN math.CO math.LO 10 Mar arXiv:0803.1175 Pre-Hausdorff Spaces. Jay Stine , M. V. Mielke math.GN 10 Mar arXiv:0803.1139 A short proof of nonhomogeneity of the pseudo-circle. Krystyna Kuperberg (Auburn University), Kevin Gammon (Auburn University). math.GN 3 Mar arXiv:0802.4436 Krasinkiewicz spaces and parametric Krasinkiewicz maps. Eiichi Matsuhashi , Vesko Valov math.GN math.GT 3 Mar arXiv:0802.4304 Group Actions and Covering Maps in the Uniform Category. N. Brodskiy , J. Dydak , B. Labuz , A. Mitra math.GN math.MG Cross-listings 11 Mar arXiv:0803.1387 Quasi-Minimal, Pseudo-Minimal Systems and Dense Orbits. Christian Pries , Silas Matel math.DS math.GN 6 Mar arXiv:0803.0676 MichaÅ Machura , Katarzyna Osiak math.AC math.GN 4 Mar arXiv:0803.0219 The order completion method for systems of nonlinear PDEs revisited. J. H.

4. General Topology Authors/titles Recent Submissions
Subjects general topology (math.GN); Group Theory (math.GR) Subjects Mathematical Physics (mathph); general topology (math.GN)
http://arxiv.org/list/math.GN/recent
##### arXiv.orgmathmath.GN
Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages
##### Authors and titles for recent submissions
[ total of 6 entries:
[ showing up to 25 entries per page: fewer more
##### Fri, 14 Mar 2008
arXiv:0803.1947 ps pdf other
Title: SPM Bulletin 24 Authors: Boaz Tsaban (ed.) Subjects: General Topology (math.GN) ; Combinatorics (math.CO); Logic (math.LO)
##### Tue, 11 Mar 2008
arXiv:0803.1387 (cross-list from math.DS) [ ps pdf other
Title: Quasi-Minimal, Pseudo-Minimal Systems and Dense Orbits Authors: Christian Pries Silas Matel Comments: 24 pages, 1 figures Subjects: Dynamical Systems (math.DS) ; General Topology (math.GN)
##### Mon, 10 Mar 2008
arXiv:0803.1175 ps pdf other
Title: Pre-Hausdorff Spaces Authors: Jay Stine M.V. Mielke Comments: 10 pages Subjects: General Topology (math.GN)
arXiv:0803.1139 ps pdf other
Title: A short proof of nonhomogeneity of the pseudo-circle Authors: Krystyna Kuperberg (Auburn University), Kevin Gammon (Auburn University) Comments: 3 pages, a short proof of an old result

5. Applied General Topology
Abstracts of all volumes.
http://www.upv.es/agt/
ISSN: 1576-9402
##### Abstracts:
Volume 1, no.1 Volume 2, no.1 Volume 2, no.2 Volume 3, no.1 ... 8, no.2

6. General Topology - NoiseFactory Science Archives (http://noisefactory.co.uk)
Standard notations for the basic number sets of mathematics.
http://noisefactory.co.uk/maths/topology.html
 This site makes extensive use of JavaScript. Please make sure JavaScript is re-enabled, and then reload the page. Sorry for the inconvenience. [See also: The Stone-Cech Compactification General mathematics Standard sets Functions ... Ordinal topologies (summary table) General mathematics Standard sets We use standard notations for the basic number sets of mathematics: R , the real line; C , the complex plane; Q , the set of rational quotients; and Z , the set of integers. We consider to be a member of N , the set of non-negative integers. The unit interval [0,1] R will be denoted I . We write to denote the empty set. Given any set X, the set of subsets of X, its power set , is denoted X or 2 X Functions Given any sets X and Y, we write Y X to denote the set of all functions from X to Y (note the reversal of the intuitive order of X and Y), and if Y is computable we can write [X Y] for the subset of Y X comprising computable functions. For the purposes of this document, we are careful to distinguish set inclusion (which allows the possibility of set equality), and strict inclusion

7. Algebraic General Topology And Math Synthesis - Replacement Of Mathematical Anal
Announce of my math discoveries Algebraic general topology and Math Synthesis which replace former general topology, Math Analisys and Functional Analisys.
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.
##### AGT articles
Funcoids and Reloids (PDF, draft)
Consider generalizations of proximity spaces and uniform spaces.
Generalized Continuousness (PDF, draft)
Defines continuousness algebraically hiding old epsilon-delta notion under a smart algebra. Generalizes continuousness, uniform continuousness, and proximity-continuousness in one formula.
Connectedness of funcoids and reloids (PDF, draft)
Defined the notion of connectedness for funcoids and reloids. Shown how connectedness of funcoids is related with connectedness of reloids.
Convergence of funcoids (PDF, draft)
Defined the notion of convergence and limit for funcoids.
Open Problems in AGT (PDF)
This document lists all yet unsolved problems and conjectures in the field of AGT . You can discuss these open problems in Open Problem Garden and in Algebraic General Topology Research forum . If you solved any of these problems

 8. Intute: Science, Engineering And Technology - Browse Topology These chapters cover the following general topology, additive groups, complexes, manifolds, topology of polyhedra, and homology theory.http://www.intute.ac.uk/sciences/cgi-bin/browse.pl?id=25620

9. Questions And Answers In General Topology
Questions and Answers in general topology (abbreviation Q A) is an international journal devoted primarily to rapid publication of questions and answers
http://at.yorku.ca/e/a/j/j/08.htm
Topology Atlas Document # eajj-08
##### A Journal Devoted to General Topology and Related Fields
ISSN : 0918-4732
Commenced publication 1983. Two issues per volume, one volume per year.
##### Audience
Topologists working in general topology and related areas.
##### Aims and Scope
Questions and Answers in General Topology (abbreviation ) is an international journal devoted primarily to rapid publication of questions and answers that arise from research in general topology and related areas.
##### Ordering Information
Subscription price per year (one volume of two issues): US\$60.00, or 6000 yen, in Japan.
Please, send your order and cashier's check to the managing editor, Prof. Jun-iti Nagata, at the address below. Personal checks from North American subscribers are acceptable.
Managing Editor
J. Nagata
M. Atsuji, T. Ishii, Y. Katuta, R. Nakagawa, A. Okuyama, S. Sakai, T. Tanaka
Editors
N. Aoki, T. Hoshina, T. Mizokami, T. Nogura, Y. Tanaka, Y.Yasui
Associate Editors
Y. Hattori, H. Kato, N. Kemoto, A. Koyama, H. Ohta, K. Tamano, H. Tanaka, J. Terasawa, K. Yamada

10. Encyclopedia Of General Topology - Elsevier
This book is designed for the reader who wants to get a general view of the terminology of general topology with minimal time and effort.
http://www.elsevier.com/wps/product/cws_home/672859

 11. General Topology Gudunov /Abstract, We describe a numerical technique for solving 2dimensional compressible multimaterial problems using a general topology mesh.......http://www.osti.gov/energycitations/product.biblio.jsp?osti_id=5934854

12. Fairisle: A General Topology ATM LAN
A research project investigating the architecture and management algorithms for a general topology.
http://www.cl.cam.ac.uk/research/srg/fairpap.html
##### Ian Leslie and Derek McAuley December 1990
An experimental general topology local area network based on Asynchronous Transfer Mode (ATM) is described. This network is intended to be used to support multiservice traffic. The provision of guarantees of quality of service to various traffic types is an important feature of the network. The management algorithms which will be used to provide these guarantees are the subject of current research; the network components described here can be viewed as a platform on which these algorithms will be developed. Fairisle is supported by the SERC under Grant GR/F 6090.8 and by HP Laboratories Bristol.
##### Introduction
Fairisle is a research project investigating the architecture and management algorithms for a general topology ATM network which is to be used as a private or local area network. Fairisle was begun in October 1989. It arose from work in the Computer Laboratory in ATM networks, multimedia communications, protocol architectures and fast packet switching. The overall purpose of Fairisle is to investigate networks rather than switches. Such an investigation is as much concerned with how components fit together as it is with network components themselves.

13. General Topology -- Britannica Online Encyclopedia
http://www.britannica.com/eb/topic-228667/general-topology
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##### general topology
A selection of articles discussing this topic.
##### major reference
Basic concepts of general topology
##### Leibniz
...in mathematics: In March 1679 he perfected the binary system of numeration (i.e., using two as a base), and at the end of the same year he proposed the basis for analysis situs, now known as general topology, a branch of mathematics that deals with selected properties of collections of related physical or abstract elements. He was also working on his dynamics and his philosophy, which... No results were returned. Please consider rephrasing your query. For additional help, please review Search Tips Search Britannica for general topology About Us Legal Notices ... Test Prep Other Britannica sites: Australia France India Korea ... Britannica Mobile - iPhone Edition

14. Probability Tutorials: Books In General Topology
R. Engelking, general topology. J.R., Munkres, Topology. J.A., Seebach, Counterexamples in Topology. L.A., Steen, Counterexamples in Topology
http://www.probability.net/topology.html
 www.probability.net Probability Tutorials General Topology Books A B C D ... W Contents M.A. Armstrong Basic Topology G. Choquet Topology J. Dixmier General Topology R. Engelking General Topology J.R. Munkres Topology J.A. Seebach Counterexamples in Topology L.A. Steen Counterexamples in Topology Tutorials Introduction Definitions Theorems ... Finance s="na";c="na";j="na";f=""+escape(document.referrer)

15. DEPARTMENT OF GENERAL TOPOLOGY AND GEOMETRY
Department of general topology and Geometry. Members, research interests, and seminars.
http://www.math.msu.su/department/gentopol/gentopol.html
##### DEPARTMENT OF GENERAL TOPOLOGY AND GEOMETRY
MAILING ADDRESS: Department of General Topology and Geometry
Faculty of Mechanics and Mathematics
Moscow State University
Vorobyovy Gory, Moscow 119899
Russia PHONE: FAX: (attn: V.V.Fedorchuk) E-MAIL ADDRESSES We refer those who would like to know more about current events in Topology around the World, to:
Maintained by Andrew N. Yakivchik
anyak@nw.math.msu.su

 16. SUMTOPO - The Summer Conference In Topology & Applications An annual event bringing together an international audience of researchers in general topology and related fields. Details of past and future meetings.http://sumtopo.home.att.net/

17. Pearson - Introduction To General Topology
An Introduction to general topology is a clear, well motivated, rigorous introduction to pointset topology. Through careful exposition, it helps students
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18. Science Central : Science - Math - Topology - General Topology
Category Listing Science Math - Topology - general topology.
http://www.sciencecentral.com/category/26945
 Friday, 14 March, 2008 Home Submit Science Site Add to Favorite Contact search for Directories Aeronautics and Aerospace Agriculture Anomalies and Alternative Science Astronomy ... Technology Category: Science Math Topology General Topology SUBMIT A SITE General Topology Order by Popularity Alphabet Sites Records 1-12 of 12 The Stone-Cech Compactification (Popularity: Notes by Mike Stannett. Applied General Topology (Popularity: Abstracts of all volumes. Oxford Analytic Topology Research Group (Popularity: Research interests: topology of metric spaces, generalised metric spaces, continua, function spaces, hyperspaces, topological algebra, ... TextbookÂ in Problems on Elementary Topology (Popularity: The core of the book is the material included usually into the Topology part of ... Open Questions in Topology (Popularity: By Marianne Morillon. Moscow State University (Popularity: Department of General Topology and Geometry. Members, research interests, seminars. Mathematical Atlas: General Topology (Popularity: From Dave Rusin's "Known Math" collection. Mathematics Arxiv Front - GN General Topology (Popularity: Preprints in general topology.

19. Course 221 - General Topology And Real Analysis
Course 221 general topology and Real Analysis. Lecture Notes in the Academic Year 2007-08. Available here are Draft lecture notes for the first semester
http://www.maths.tcd.ie/~dwilkins/Courses/221/
##### Lecture Notes in the Academic Year 2007-08
Available here are Draft lecture notes for the first semester of course 221, in 2007-08
##### Assignments in the Academic Year 2007-08
Students are required to complete the following assignments:-
• Assignment 1 [ PDF Assignment 2 [ PDF
##### Lecture Notes in the Academic Year 2006-07
The lecture notes for course 221, as it was taught at Trinity College, Dublin, in the academic year 2006-2007, are available here.
• Section 1: Sets, functions and countability [ PDF Section 2: Metric spaces; [ PDF Section 3: Complete metric spaces, normed vector spaces, and Banach spaces; [ PDF Section 4: Topological spaces; [ PDF Section 5: Compact spaces; [ PDF Section 6: The extended real number system; [ PDF Section 7: Measure spaces; [ PDF Section 8: The Lebesgue integral; [ PDF Section 9: Signed measures and the Radon-Nikodym Theorem; [ PDF
dwilkins@maths.tcd.ie
##### Assignments in the Academic Year 2006-07
Students are required to complete the following assignments:-
• Assignment 1 [ PDF Assignment 2 [ PDF
Lecture notes for undergraduate courses Dr. David R. Wilkins

 20. McGraw-Hill: Schaum's Outline Of General Topology : Book Mathematics students around the world turn to this clear and complete guide to general topology for its through introduction to the subject,http://www.mhprofessional.com/product.php?cat=117&isbn=0070379882

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