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作者: | John L.Kelley 著 |
ISBN: |
9787506200578 , 7506200570
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出版社: | 世界图书出版公司 |
出版日期: | 2000-12-1 |
定价: |
¥49.00 元
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内容提要 :
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.
本书为英文版。
编辑推荐 :
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.
本书为英文版。
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 PRINCIPLE
CNAPTER 1:TOPOLOGICAL SPACES
TOPOLOGIES AND NEIGHBORHOODS
CLOSED SETS
ACCUMULATION POINTS
CLOSURE
INTERIOR AND BOUNDARY
BASES AND SUBBASES
RELATIVIZATION;SEPARATION
CONNECTED SETS
PROBLEMS
CNAPTER 2:MOORE-SMITH CONVERGENCE
INTRODUCTION
DIRECTED SETS AND NETS
SUBNETS AND CLUSTER POINTS
……
CNAPTER 3:PRODUCT AND QUOTIENT SP ACES
CNAPTER 4:EMBEDDING AND METRIZATION
CNAPTER 5:COMPACT SPACES
CNAPTER 6:UNIFORM SPACES
CNAPTER 7:FUNCTION SPACES
APPENDIX:ELEMENTARY SET THEORY
INDEX