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普通拓扑学

L.Kelley 世界图书出版公司
出版时间:

2000-12  

出版社:

世界图书出版公司  

作者:

L.Kelley  

页数:

298  

Tag标签:

无  

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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