General Topology

Front Cover
Courier Dover Publications, 2004 - 369 pages
7 Reviews
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Its treatment encompasses two broad areas of topology: "continuous topology," represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and "geometric topology," covered by nine sections on connectivity properties, topological characterization theorems, and homotopy theory. Many standard spaces are introduced in the related problems that accompany each section (340 exercises in all). The text's value as a reference work is enhanced by a collection of historical notes, a bibliography, and index. 1970 edition. 27 figures.
  

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It is clear in it's definitions of topology spaces, more especially with the closure and interior properties. It's a must read for all those aspiring mathematicians out there with the knowledge of set theory who like to advance to more rigorous fields of analysis.

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Contents

Chapter
1
Inadequacy of sequences
70
Compact spaces
116
23
144
52
152
59
159
Metrizable Spaces 22 Metric spaces and metrizable spaces
161
Metrization
163
The homotopy relation
222
The fundamental group
227
FMS
233
Uniform Spaces 35 Diagonal uniforrnities
238
Uniform covers
244
Uniform products and subspaces weak uniforrnities
251
Uniforinizability and uniform metrizability
255
Complete unifonn spaces completion
260

70
170
Complete metric spaces
179
The Baire theorem
188
Connectedness 26 Connected spaces
191
85
192
Pathwise and local connectedness
199
Continua
203
Totally disconnected spaces
213
The Cantor set
218
3l Peano spaces
219
Proximity spaces
266
4l Compactness and proximities
273
Chapter I0 Function Spaces 42 Pointwise convergence uniform convergence
278
The compactopen topology and uniform convergence on compacta
282
The StoneWeierstrass theorem
290
Historical Notes
297
Bibliography
323
Index
345
Copyright

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54: General topology
The definitive axiomatic development is of course by Bourbaki, Nicolas, "General topology" (2 volumes), Springer-Verlag, Berlin-New York, 1989. 363+437 pp. ...
www.math.niu.edu/ ~rusin/ known-math/ index/ 54-XX.html

Basic Library List-Topology
General Topology I: Basic Concepts and Constructions, Dimension Theory New ... Sierpinski, W. General Topology Toronto: University of Toronto Press, 1952. ...
www.maa.org/ BLL/ topology.htm

JSTOR: General Topology.
If you teach general topology, you'll probably want to have this book on your shelf. By including a section of historical notes and a long list of ...
links.jstor.org/ sici?sici=0002-9890(197202)79%3A2%3C195%3AGT%3E2.0.CO%3B2-5

CLUSTER SETS IN GENERAL TOPOLOGY
CLUSTER SETS IN GENERAL TOPOLOGY. 193. vejv(y) and U€JV{x). Hence f ..... Stephen Willard, General Topology (Addison-Wesley, London, 1970). ...
jlms.oxfordjournals.org/ cgi/ reprint/ s2-12/ 2/ 192.pdf

Springer Online Reference Works
An example of a flourishing area of general topology whose central ideas ... Since the proliferation of (models of) set theory, general topology tends to be ...
eom.springer.de/ T/ t093200.htm

Some Applications Of General Topology To The Semantics Of Logic ...
Introduction. The classical approach to the study of fixed point semantics of definite logic programs P utilises two main facts The set IJL of all ...
citeseer.ist.psu.edu/ 135163.html

MATH 320 INTRODUCTION TO GENERAL TOPOLOGY II
Course Objectives, This course is designed to give the fundamental concepts of general topology which are the basic of working in mathematics. ...
www.fef.gazi.edu.tr/ turkish/ maths/ English/ ectslisans/ INTRODUCTION%20TO%20GENERAL%20TOPOLOGY%20II.doc

Text: Elementary Topology
The most common introduction to topology is through the study of general topology, either beginning with an axiomatic point of view, or perhaps with metric ...
www.math.uiowa.edu/ ~roseman/ et/ et.html

Topology - Wikibooks, collection of open-content textbooks
5.2.1 General Topology; 5.2.2 Algebraic Topology. 5.3 External Links ... General Topology is based solely on set theory and concerns itself with structures ...
en.wikibooks.org/ wiki/ Topology

General topology 一般拓扑学:图书:价格比较:琅琅比价网
General topology 一般拓扑学,作者:Stephen Willard 著,Dover Publications, 定价207.4元。多家网店价格比较,确保找到最低价,免除缺货烦恼。
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