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Introduction To General TopologyPDF|Epub|txt|kindle电子书版本网盘下载

Introduction To General Topology
  • Zlatko P.Mamuzic 著
  • 出版社： Ltd.
  • ISBN：
  • 出版时间：1963
  • 标注页数：159页
  • 文件大小：50MB
  • 文件页数：161页
  • 主题词：

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图书目录

LIST OF SYMBOLS5

INTRUODUCTION9

1．(Generalized) topological spaces13

2．Neighborhood spaces15

3．Accumulation points;interior,exterior and boundary of a set;closed sets and open sets18

Characterization of neighborhood spaces by means of a generalized topology19

Neighborhood spaces whose neighborhood bases consist of open neighborhoods21

4．Topological spaces22

5．Topological base31

6．Continuous mappings of a space into a space;homeomorphisms34

7．Topologization of a set of by a mapping41

Subspaces45

Topological product48

Topological quotient52

8．Separation axioms;classification of spaces by means of the separation axioms52

9．Topologization of a set by means of a real distance;metric spaces62

Uniformly continuous mappings of a metric space into a metric space70

Several examples of metric spaces73

Geodesic metric74

Normed linear,or vector,spaces76

Metrization of topological spaces77

10．Topologizatoin of a set by the uniform topology;Efremovich＇s proximity spaces or δ-spaces85

Mappings of a δ-space into a δ-space;δ-functions;δ-homeomorphisms (equimorphisms)96

Metrization of a δ-space98

11．Topologization of a set by means of the uniform topology;Weil uniform spaces100

Mappings of uniform spaces into uniform spaces;μ-functions and uniform homeomorphisms109

Uniformizable spaces110

Metrization of uniform spaces115

Tukey-Smirnov uniformities;relation between δ-spaces and uniform spaces116

Shvarts uniformities119

12．Topologization of a set by means of an abstract distance121

Abstract distance and neighborhood spaces121

Abstract distance and topological spaces124

Abstract distance and uniform spaces126

The Kurepa class of spaces E [M]128

Spaces I (Wa)131

R-spaces132

eT-spaces136

Continuous mappings of spaces defined by an abstract distance138

Topologization of a set by means of a partially ordered distance140

Partially ordered distance in the sense of Appert＇s definition140

Colmez partially ordered distance142

Topologization of a set by a totally ordered distance;pseuo-distancial,or Kurepa-Fréchet,spaces146

The Kurepa class of spaces (Da)149

LITERATURE151

INDEX157

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