普通拓扑学
2000-12
世界图书出版公司
L.Kelley
298
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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。
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
很新很干净