1. 54: General Topology From Dave Rusin's "Known Math" collection.Category Science Math Topology general topology...... Until 1958 an additional classification 56.0X was used for general topology.Browse all (old) classifications for this area at the AMS. 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.

2. Questions And Answers In General Topology Questions and Answers in general topology. A Journal Devoted to general topologyand Related Fields. Published by Symposium of general topology Audience. http://at.yorku.ca/e/a/j/j/08.htm

Topology Atlas Document # eajj-08 Questions and Answers in General Topology A Journal Devoted to General Topology and Related Fields ISSN : 0918-4732 Commenced publication 1983. Two issues per volume, one volume per year. Published by Symposium of General Topology 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. Editorial Boad Managing Editor J. Nagata Advisors 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

3. Fairisle General Topology Research project on the architecture of ATMbased local area networks and the algorithms for generating a general topology. An experimental general topology local area network based on Asynchronous Transfer Mode (ATM) is described. http://www.cl.cam.ac.uk/Research/SRG/fairpap.html

4. Agt Abstracts of all volumes.Category Science Math Topology general topology......Editorsin-Chief Salvador Romaguera, Manuel Sanchis. ISSN 1576-9402 EditorialBoard. Aims and Scope. Technical Editors. Instructions for Authors. Abstracts http://www.upv.es/agt/

Editors-in-Chief: Salvador Romaguera, Manuel Sanchis. ISSN: 1576-9402 Editorial Board Aims and Scope Technical Editors Instructions for Authors Abstracts: Volume 1, no.1 Volume 2, no.1 Volume 2, no.2 Volume 3, no.1 Volume 3, no.2

5. Dynamic Directory - Science - Math - Topology - General Topology Mathematics Arxiv Front GN general topology - Preprints in general topology. Moscow State University - Department of http://www.maximumedge.com/cgi/dir/index.cgi/Science/Math/Topology/General_Topol

var AdLoaded = false; var bsid = '18707'; var bsads = '6'; var bsloc = ''; var bswx = 468; var bshx = 60; var bsw = '_top'; var bsb = 'FFFFFF'; var bsf = '000000'; var bsalt = 'off'; MaximumEdge.com Search E-Mail News ... Maps Dynamic Directory Top Science Math Topology :General Topology Web Pages Topology Atlas - A multi-purpose center for electronic distribution of information related to topology. Alfréd Rényi Institute of Mathematics - Set Theoretic and General Topology research group members. Applied General Topology - Abstracts of all volumes. Fixed Point Theory on the Web - Publications, meetings, mailing list, bibliography. Mathematical Atlas: General Topology - From Dave Rusin's "Known Math" collection. Mathematics Arxiv Front - GN General Topology - Preprints in general topology. Moscow State University - Department of General Topology and Geometry. Members, research interests, seminars. Open Questions in Topology - By Marianne Morillon. Oxford Analytic Topology Research Group - Research interests: topology of metric spaces, generalised metric spaces, continua, function spaces, hyperspaces, topological algebra, set theoretic methods in topology, and applications of topology to computer science and the theory of differential equations. The Stone-Cech Compactification - Notes by Mike Stannett.

6. ScienceDirect - General Topology And Its Applications - List Of Issues An annual event bringing together an international audience of researchers in general topology and Category Science Math Topology Events...... http://www.sciencedirect.com/science/journal/0016660X

This Feature requires JavaScript Register or Login: Password: Athens Login General Topology and its Applications Bookmark this page as: http://www.sciencedirect.com/science/journal/0016660X (Now known as Topology and its Applications = subscribed = non-subscribed = complimentary Volume 10 Volume 10, Issue 3 , Pages 213-314 (September 1979) Volume 10, Issue 2 , Pages 107-211 (May 1979) Volume 10, Issue 1 , Pages 1-105 (February 1979) Volume 9 Volume 8 Volume 7 Volume 6 ... Volume 1 Alert me when new Journal Issues are available Add this journal to My Favorite Journals Journal Publisher Website Send feedback to ScienceDirect Your use of this service is governed by Terms and Conditions . Please review our for details on how we protect information that you supply.

7. GN General Topology All Products Books -Used Books -Collectable Books All Subjects -Art, Architecture Photography -Audio Cassettes -Audio CDs -Biography -Business, Finance Law -Children's Books -Comics Graphic Novels -Computers Internet -Crime, Thrillers http://front.math.ucdavis.edu/math.GN

Tue 18 Mar 2003 Search Submit Retrieve Subscribe ... iFAQ GN General Topology Calendar Search Authors: AB CDE FGH IJK ... U-Z New articles (last 12) 6 Mar math.GN/0303057 SPM Bulletin 3. Boaz Tsaban GN CO LO 27 Feb math.GN/0302322 The combinatorics of Borel covers. Marion Scheepers , Boaz Tsaban . 32 pages. Topology and its Applications GN CA CO LO 25 Feb math.GN/0302279 Arcwise connectedness of the boundaries of connected self-similar sets. Tai-Man Tang . 6 pages. GN CA 20 Feb math.GN/0302239 Limits in Function Spaces and Compact Groups. Joan E. Hart , Kenneth Kunen . 16 pages. GN 20 Feb math.GN/0302235 Topologische und algebraische Filter. Holger Brenner GN 7 Feb math.GN/0302062 SPM Bulletin 2. Boaz Tsaban GN CA CO ... LO 28 Jan math.GN/0301293 On Regularly Branched Maps. H. Murat Tuncali , Vesko Valov . 12 pages. GN 10 Jan math.GN/0301085 The Hurewicz covering property and slaloms in the Baire space. Boaz Tsaban . 7 pages. GN CO LO Cross-listings 3 Feb math.FA/0301367 Beata Randrianantoanina . 34 pages. FA GN 22 Jan math.DS/0301235 A new proof of the Stable Manifold Theorem for hyperbolic fixed points on surfaces. Mark Holland , Stefano Luzzatto DS GN Revisions 25 Feb math.GN/0210379

8. Applied General Topology Applied general topology Universidad Politécnica de Valencia. Applied GeneralTopology. Copyright © 20012002 Applied general topology and Topology Atlas. http://at.yorku.ca/i/a/a/j/00.htm

Applied General Topology Applied General Topology Editors-in-Chief Salvador Romaguera, Manuel Sanchis. ISSN Editorial Board Aims and Scope Technical Editors Instructions for Authors ... Subscription information Contents Volume 1, No. 1, 2000 Volume 2, No. 1, 2001 Volume 2, No. 2, 2001 Volume 3, No. 1, 2002 ... Applied General Topology and Topology Atlas

9. 5th Galway Colloquium On General Topology University of Hull, UK; 2729 June 2001.Category Science Math Topology Events Past Events...... general topology The purpose of the conference is to bring together mathematiciansworking in general topology and to provide a forum in which research http://www.hull.ac.uk/maths/topology/

10. McGraw-Hill Professional | Main Catalog you want top grades and a thorough understanding of general topology, this powerful study tool is the best tutor you can http://www.pbg.mcgraw-hill.com/cgi-bin/catalog/getarec.pl?isbn=0070379882

11. 14th Summer Conference On General Topology What follows is a preliminary program as of July 28th for the 14th Summer Conferenceon Topology and Applications. Back to Topology Conference Home Page. http://phoenix.liunet.edu/~srothman/schedule.htm

What follows is a preliminary program as of July 28th for the 14th Summer Conference on Topology and Applications. The first block indicates when the invitees will speak, when the workshops will take place ("Group", led by Itzkowitz, "Systems" led by Devaney), and when the parallel session slots are. Back to Topology Conference Home Page Schedule of Talks Time Wednesday Thursday Friday Saturday Welcome RUDIN SCHIKHOF AKIN PESTOV Group + S1 Group + S10 Group + S19 Group + S2 Group + S11 Group + S20 Break Break Break Break Systems + S23, S24 Finish at 1:30 Lunch Lunch Lunch Systems + S6 Systems + S15 GARTSIDE End 3:30 Systems + S7 Systems + S16 Break Break EDALAT Session code: A=Topological Algebraic Structures C=Asymmetric Topology/Topology andComputer Science (ACS) D=Dynamical Sytems G=Topological Groups/Topological Semigroups S=Set-Theoretic Topology (More than one letter given means joint session.) KEY Session Area 1 Area 2 Area 3 Area 4 Groups Workshop Yang (A) Granero Groups Workshop Traina (A) Hanna Kummetz (C) Ross (G) Filali (A) Peregudov Lemin (CS) Ross (G) Silva (A) Baboolal Vaughan (SC) Macario (G) Schmets (A) Wong Dynamical Systems Workshop Vignoli (A) Dynamical Systems Workshop Gomez Perez (A) Watson (S) Robins (DC) Beckenstein (A) Burgin Tkachuk (S) Brattka (C) Maestre (A) Liederman (G) Groups Workshop Mack (CA) Kuperberg (D) Groups Workshop Webster (CA) Van Dam Kulesza (S) Bauer (C) Hernandez (G) Akin (D) Ismail (S) Kopperman (C) Comfort (G) Martinez-Montejano (D) Ssymanski (S) Edalat (C) Glasner (D) Lawner Dynamical Systems Workshop Garcia-Ferreira (S) Dynamical Systems Workshop

12. General Topology Authors/titles Recent Submissions general topology. Title SPM Bulletin 2 Authors Boaz Tsaban Subjclassgeneral topology; Classical Analysis and ODEs; Combinatorics; Logic http://arxiv.org/list/math.GN/recent

General Topology Authors and titles for recent submissions Thu, 6 Mar 2003 Thu, 27 Feb 2003 Tue, 25 Feb 2003 Thu, 20 Feb 2003 ... Fri, 7 Feb 2003 Thu, 6 Mar 2003 math.GN/0303057 abs ps pdf other Title: SPM Bulletin 3 Authors: Boaz Tsaban Comments: The first issues of this bulletin are available online: (1) First issue: math.GN/0301011 (2) Second issue: math.GN/0302062 Subj-class: General Topology; Combinatorics; Logic Thu, 27 Feb 2003 math.GN/0302322 abs ps pdf other Title: The combinatorics of Borel covers Authors: Marion Scheepers Boaz Tsaban Comments: 32 pages, 4 figures Subj-class: General Topology; Classical Analysis and ODEs; Combinatorics; Logic MSC-class: Journal-ref: Topology and its Applications 121 (2002), 357382 Tue, 25 Feb 2003 math.GN/0302279 abs ps pdf other Title: Arcwise connectedness of the boundaries of connected self-similar sets Authors: Tai-Man Tang Comments: 6 pages, no figure Subj-class: General Topology; Classical Analysis and ODEs MSC-class: 28A80 (Primary); 54F65 (Secondary) Thu, 20 Feb 2003 math.GN/0302239 abs ps pdf other Title: Limits in Function Spaces and Compact Groups Authors: Joan E. Hart

13. General Topology Authors/titles Jan 2003 general topology. Title Extraordinary dimension theories generated by complexesAuthors A. Chigogidze Subjclass general topology MSC-class 54F45, 55M10 http://arxiv.org/list/math.GN/0301

General Topology Authors and titles for Jan 2003 math.GN/0301004 abs ps pdf other Title: Extraordinary dimension theories generated by complexes Authors: A. Chigogidze Subj-class: General Topology MSC-class: math.GN/0301011 abs ps pdf other Title: SPM Bulletin 1 Authors: Boaz Tsaban Subj-class: General Topology; Combinatorics; Logic math.GN/0301015 abs ps pdf other Title: A natural construction for the real numbers Authors: Norbert A'Campo Comments: 10 pages Subj-class: General Topology MSC-class: math.RA/0301072 abs ps pdf other Title: Topological Orthoalgebras Authors: Alexander Wilce Comments: 16 pp Subj-class: Rings and Algebras; General Topology MSC-class: math.GN/0301085 abs ps pdf other Title: The Hurewicz covering property and slaloms in the Baire space Authors: Boaz Tsaban Comments: 7 pages, submitted Subj-class: General Topology; Combinatorics; Logic MSC-class: math.DS/0301235 abs ps pdf other Title: A new proof of the Stable Manifold Theorem for hyperbolic fixed points on surfaces Authors: Mark Holland Stefano Luzzatto Comments: 1 Figure Subj-class: Dynamical Systems; General Topology

14. Introduction To General Topology, An - Addison Wesley / Benjamin Cummings Catalo . An Introduction to general topologyis a clear, well motivated, rigorous introduction to pointset topology.......Introduction to general topology, An. http://www.aw.com/catalog/academic/product/1,4096,0201576988,00.html

Find Your Rep Publish with Us Customer Service Careers ... Statistics ABOUT THIS PRODUCT Description Table of Contents Features Appropriate Courses Alternate Version(s) RELATED TITLES Topology (Mathematics) Introduction to General Topology, An George L. Cain Georgia Institute of Technology ISBN: 0-201-57698-8 Publisher: Addison-Wesley Format: Cloth; 216 pp Published: 08/31/1993 Status: Out of Stock US: $118.00 You Save: $11.80 (10% off) Our Price: $106.20 New Edition Available! Instructor Exam Copy Description An Introduction to General Topology is a clear, well motivated, rigorous introduction to point-set topology. Through careful exposition, it helps students think abstractly, providing an excellent foundation and preparation for further studies in topology and advanced mathematics study. The text contains few illustrations, encouraging students to draw their own and motivating them to think abstractly. Other items to consider Introduction to General Topology by George L. Cain Our Price: $86.40

15. Introduction To General Topology - Addison Wesley / Benjamin Cummings Catalog Introduction to general topology. George L. Cain, Georgia Institute ofTechnology. Introduction to general topology, An ISBN 0201576988. http://www.aw.com/catalog/academic/product/1,4096,0201756110,00.html

Find Your Rep Publish with Us Customer Service Careers ... Statistics Introduction to General Topology George L. Cain Georgia Institute of Technology ISBN: 0-201-75611-0 Publisher: Addison-Wesley Format: Paper Published: 09/27/2001 Status: Instock US: $96.00 You Save: $9.60 (10% off) Our Price: $86.40 Add to Cart Instructor Exam Copy This product is an alternate version of: Introduction to General Topology, An AW Higher Education Group , a division of Pearson Education , a Pearson . E-mail webmaster@awl.com

16. General Topology - NoiseFactory Science Archives (http://noisefactory.co.uk) The space X is compact provided every open cover has a finite subcover. Compactspaces are very important in general topology for a variety of reasons. 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

17. BookLists: General Topology - NoiseFactory Science Archives (http://noisefactory general topology. One of the purest and most intellectually challenging branchesof modern mathematics, this is not a subject for the faint hearted. http://noisefactory.co.uk/reading/general_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. Click topic headings for more detailed lists, including basic reviews. Click author names for lists of their relevant books available online. Click book titles for further details, reviews, and offers specific to that book. Security You should only supply credit card details over secure server connections (Amazon use a secure server). Never send credit card details over standard email. Notes for UK Visitors Even though NoiseFactory is based in the UK, most prices here are quoted in US dollars - the slightly longer shipping time is usually more than made up for by considerably lower prices in America. Buying goods online is just as easy in dollars as Sterling, because credit card transactions are automatically converted to local currency at the prevailing exchange rate. In fact, online dollar purchases are cheaper even than getting your bank to generate a money order, because banks typically charge extortionate conversion fees, whereas credit cards usually charge none at all. To buy a book or CD in dollars, just fill out the online forms provided - the rest happens automatically. Further Reading > General Topology Page 1 Page 2 Page 3 Page 4 ... Page 6 Visit our Sponsors General Topology One of the purest and most intellectually challenging branches of modern mathematics, this is not a subject for the faint hearted. You'll need to read these books carefully, and a detailed understanding may emerge only slowly, but when it does emerge it'll have been worth every minute. Taking your mind for a stroll around an abstract topological space, where even basic ooncepts like distance and dimension may not mean very much, is a joy few humans have ever experienced.

18. Papers By AMS Subject Classification No papers on this subject. 54XX general topology For the topologyof manifolds of all dimensions, see 57NXX / Classification root. http://im.bas-net.by/mathlib/en/ams.phtml?parent=54-XX

19. Set Theoretical And General Topology Research Division Links. Set Theoretical and general topology research division. Research staffIstván Juhász, head of research division; Ervin Deák; Miklós Erdélyi Szabó; http://www.renyi.hu/staff/topology.html

* Text version * A R I NSTITUTE OF M ATHEMATICS Home People The Institute - General ... Links Set Theoretical and General Topology research division Research staff , head of research division Zsigmond Nagy Lajos Soukup Associated members Endre Makai You can find more information on the Set Theory and Topology Research Group Contact the webmaster

20. Set Theoretical And General Topology Research Division Set Theoretical and general topology research division. Research staff IstvánJuhász, head of research division; Ervin Deák; Miklós Erdélyi Szabó; http://www.renyi.hu/staff/topology-text.html

Home People The Institute Periodicals ... Links Set Theoretical and General Topology research division Research staff , head of research division Zsigmond Nagy Lajos Soukup Associated members Endre Makai You can find more information on the Set Theory and Topology Research Group Contact the webmaster

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