普通拓撲學

內(nèi)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.　　《普通拓撲學》為英文版。

書籍目錄

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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