General TopologyAmong 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.
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 
Common terms and phrases
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References from web pages
54: General topology
The definitive axiomatic development is of course by Bourbaki, Nicolas, "General topology" (2 volumes), SpringerVerlag, BerlinNew York, 1989. 363+437 pp. ...
www.math.niu.edu/ ~rusin/ knownmath/ index/ 54XX.html
Basic Library ListTopology
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=00029890(197202)79%3A2%3C195%3AGT%3E2.0.CO%3B25
CLUSTER SETS IN GENERAL TOPOLOGY
CLUSTER SETS IN GENERAL TOPOLOGY. 193. vejv(y) and U€JV{x). Hence f ..... Stephen Willard, General Topology (AddisonWesley, London, 1970). ...
jlms.oxfordjournals.org/ cgi/ reprint/ s212/ 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 opencontent 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
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