http://www.netvouz.com/narky/tag/topology?feed=rss narky's bookmarks tagged "topology" on Netvouz http://www.amazon.com/Elementary-Topology-Michael-C-Gemignani/dp/0486665224/ref=sr_1_1/103-5101079-6685443?ie=UTF8&s=books&qid=1177900493&sr=1-1 Superb introduction to rapidly expanding area of mathematical thought. Fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory and other essentials. Numerous exercises, plus section on paracompactness and complete regularity. References throughout. Includes 107 illustrations. Educational > Mathematics > Topology Books narky Mon, 30 Apr 2007 02:37:10 GMT http://www.amazon.com/Introduction-General-Topology-K-D-Joshi/dp/0852264445/ref=sr_1_9/103-5101079-6685443?ie=UTF8&s=books&qid=1177899585&sr=8-9 K. D. Joshi, Introduction to General Topology. A Halsted Press Book. John Wiley & Sons, Inc., New York, 1983. xii+412 pp. ISBN: 0-470-27556-1. K D Joshi obtained his Ph D in Mathematics from Indiana University,USA in 1972 and has been teaching mathematics at IIT Bombay since 1975. He has been involved with the conduct of the Joint Entrance Examination (JEE) in various capacities for over two decades. He has many books to his credit one of which is Calculus for Scientists and Engineers published by Narosa Publishing House in 2002. Educational > Mathematics > Topology Books narky Mon, 30 Apr 2007 02:28:51 GMT http://http://www.amazon.com/Topology-2nd-James-Munkres/dp/0131816292/ref=pd_bbs_sr_1/103-5101079-6685443?ie=UTF8&s=books&qid=1177900224&sr=1-1 This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications. Educational > Mathematics > Topology Books narky Mon, 30 Apr 2007 02:35:41 GMT http://uob-community.ballarat.edu.au/~smorris/topology.htm "Topology Without Tears" by Sidney A. Morris. University of Ballarat, Victoria Australlia. Educational > Mathematics > Topology Books narky Wed, 24 May 2006 09:03:43 GMT http://www.amazon.com/Beginning-Topology-Brooks-Advanced-Mathematics/dp/0534424260/ref=sr_1_1/102-4507258-4866556?ie=UTF8&s=books&qid=1179129464&sr=8-1 With a nice balance of mathematical precision and accessibility, this text provides a broad introduction to the field of topology. Author Sue Goodman piques student curiosity and interest without losing necessary rigor so that they can appreciate the beauty and fun of mathematics. The text demonstrates that mathematics is an active and ever-changing field with many problems still unsolved, and students will see how the various areas of mathematics ? algebra, combinatorics, geometry, calculus, and differential equations ? interact with topology. Students learn some of the major ideas and results in the field, do explorations and fairly elementary proofs, and become aware of some recent questions. Educational > Mathematics > Topology Books narky Mon, 14 May 2007 08:02:30 GMT https://alpha2.latrobe.edu.au/patroninfo/1119178/item&1287918 Author: Bushaw, Donald. Title: Elements of general topology. Published: New York : J. Wiley, [1963]. Educational > Mathematics > Topology Books narky Fri, 11 May 2007 00:51:43 GMT http://planetmath.org/encyclopedia/AnyTopologicalSpaceWithTheFixedPointPropertyIsConnected.html Theorem Any topological space with the fixed-point property is connected. Proof. We will prove the contrapositive. .... Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Fri, 27 Apr 2007 04:24:36 GMT http://www.math.cornell.edu/~hatcher/ A bunch of books written by Allen Hatcher, in particular Algebraic Topology (described below) recommended by Grant... This is the first in a series of three textbooks in algebraic topology having the goal of covering all the basics while remaining readable by newcomers seeing the subject for the first time. The first book contains the basic core material along with a number of optional topics of a relatively elementary nature. The other two books, which are largely independent of each other, are provisionally titled "Vector Bundles and K-Theory" and "Spectral Sequences in Algebraic Topology." Educational > Mathematics > Topology Books narky Wed, 16 May 2007 22:15:21 GMT http://en.wikipedia.org/wiki/Fixed_point_property In mathematics, a topological space X has the fixed point property if all continuous mappings from X to X have a fixed point. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:50:22 GMT http://at.yorku.ca/cgi-bin/bbqa?forum=ask_a_topologist_2001;task=show_msg;msg=0302 Does a space which has the finite closed topology have the fixed-point property? I really don't know how to go about this, but my initial thoughts are: - This should be related to continuous functions and connectedness. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:24:24 GMT