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本书作者在泛函分析和拓扑学领域很有成就，著作颇多，有较广泛的影响。本书是根据作者在芝加哥大学、加利福尼亚大学等处讲授拓扑学的讲义编写而成的，是一本优秀的教材。
本书包含了，预备知识，拓扑空间，Moore-Smith收敛，积空间和商空间，嵌入和度量化，紧空间，一致空间，函数空间等内容。
作者介绍
目录
CHAPTER O: PRELIMINARIES
  SETS
  SUBSETS AND COMPLEMENTS; UNION AND INTERSECTION  .
  Class calculus
  RELATIONS
  Relation calculus, equivalence relations
  FUNCTIONS
  ORDERINGS
  Order-complete sets, chains, extension of order-preserving
  functions
  ALGEBRAIC CONCEPTS
  THE REAL NUMBERS
  Integers, definition by induction, b-adic expansions
  COUNTABLE SETS
  Subsets, unions, the set of real numbers
  CARDINAL NUMBERS
  Schroeder-Bernstein theorem
  ORDINAL NUMBERS
  The first uncountable ordinal
  CARTESIAN PRODUCTS
  HAUSDOKFF MAXIMAL PRINCIPLE
  Maximal principle, Kuratowski-Zorn lemma, axiom of
  choice, well-ordering principle
……
CHAPTER 1: TOPOLOGICAL SPACES
CHAPTER 2: MOORE-SMITH CONVERGENCE
CHAPTER 3: PRODUCT AND QUOTIENT SPACES
CHAPTER 4: EMBEDDING AND METRIZATION
CHAPTER 5: COMPACT  SPACES
CHAPTER 6: UNIFORM SPACES
CHAPTER 7: FUNCTION SPACES
APPENDIX: ELEMENTARY SET THEORY

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作者介绍