普通拓扑学

出版时间:2000-12  出版社:世界图书出版公司  作者:L.Kelley  页数:298  
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内容概要

  This book is a systematic exposition of the part of general topology which has proven useful in several branches of mathematics. It is especially intended as background for modern analysis, and I have, with difficulty, been prevented by my friends from labeling it: What Every Young Analyst Should Know.  《普通拓扑学》为英文版。

书籍目录

CNAPTER 0:PRELIMINARIES  SETS  SUBSETS AND COMPLEMENTS;UNION AND INTERSECTION  RELATIONS  FUNCTIONS  ORDERINGS  ALGEBRAIC CONCEPTS  THE REAL NUMBERS  COUNTABLE SETS  CARDINAL NUMBERS  ORDINAL NUMBERS  CARTESIAN PRODUCTS  HAUSDORFF MAXIMAL PRINCIPLECNAPTER 1:TOPOLOGICAL SPACES  TOPOLOGIES AND NEIGHBORHOODS  CLOSED SETS  ACCUMULATION POINTS  CLOSURE  INTERIOR AND BOUNDARY   BASES AND SUBBASES  RELATIVIZATION;SEPARATION  CONNECTED SETS  PROBLEMSCNAPTER 2:MOORE-SMITH CONVERGENCE  INTRODUCTION  DIRECTED SETS AND NETS  SUBNETS AND CLUSTER POINTS  ……CNAPTER 3:PRODUCT AND QUOTIENT SP ACESCNAPTER 4:EMBEDDING AND METRIZATIONCNAPTER 5:COMPACT SPACESCNAPTER 6:UNIFORM SPACESCNAPTER 7:FUNCTION SPACESAPPENDIX:ELEMENTARY SET THEORYINDEX

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  •   内容全面,但是需要一定的基础
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