【正版保证团购优惠】广义度量空间与映射, 第三版 (英文版) pdf snb 115盘 kindle 在线 下载 pmlz mobi

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Contents

Foreword

Preface

Preface to the English Edition

Chapter 1 The origin of generalized metric spaces 1

1.1 Notations and terminologies 2

1.2 Distance functions 5

1.3 Bases 12

1.4 Stratifications 19

1.5 Networks and (mod k)-networks 26

1.6 k-networks and weak bases 30

1.7 Generalized countably compact spaces 37

1.8 Examples 42

Chapter 2 Mappings on metric spaces 55

2.1 Classes of mappings 56

2.2 Perfect mappings 63

2.3 Quotient mappings 74

2.4 Open mappings 82

2.5 Closed mappings 90

2.6 Compact-covering mappings 104

2.7 s-mappings 112

2.8 ss-mappings 122

2.9 π-mappings 131

2.10 Compact mappings 138

2.11 σ-locally finite mappings 150

Chapter 3 Generalized metric spaces 157

3.1 Spaces with point-countable covers 158

3.2 ε-spaces 170

3.3 σ-spaces and semi-stratifiable spaces 192

3.4 k-semi-stratifiable spaces 205

3.5 Mi-spaces 217

3.6 Developable spaces and p-spaces 227

3.7 M-spaces 241

3.8 spaces 250

3.9 g-metrizable spaces 263

3.10 Open questions 269

Appendix A Characterizations of several covering properties 275

A.1 Paracompact spaces 275

A.2 Metacompact spaces 281

A.3 Subparacompact spaces 283

A.4 Submetacompact spaces 286

A.5 Meta-Lindel.of spaces 292

Appendix B The formation of the theory of generalized metric spaces 294

B.1 A historical review 295

B.2 The foundation laying period 296

B.3 The formation period 304

Bibliography 322

Index 348

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