- This is the first book on generalized metrizable spacesThis is the first book to achieve the classification of spaces by means of mappingsSuitable as a text book for graduate students or senior undergraduatesResearchers in this field can also use this book as a valuable reference
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- About this book
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The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the 1960s. This book has three chapters, two appendices and a list of more than 400 references. The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces". Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized metric spaces. Researchers in this field can also use this book as a valuable reference.
- Table of contents (3 chapters)
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The Origin of Generalized Metric Spaces
Pages 1-51
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Mappings on Metric Spaces
Pages 53-146
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Generalized Metric Spaces
Pages 147-258
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Table of contents (3 chapters)
- Download Preface 1 PDF (59.6 KB)
- Download Sample pages 2 PDF (912.2 KB)
- Download Table of contents PDF (76.9 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Generalized Metric Spaces and Mappings
- Authors
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- Shou Lin
- Ziqiu Yun
- Series Title
- Atlantis Studies in Mathematics
- Series Volume
- 6
- Copyright
- 2016
- Publisher
- Atlantis Press
- Copyright Holder
- Atlantis Press and the author(s)
- eBook ISBN
- 978-94-6239-216-8
- DOI
- 10.2991/978-94-6239-216-8
- Hardcover ISBN
- 978-94-6239-215-1
- Series ISSN
- 1875-7634
- Edition Number
- 1
- Number of Pages
- XVI, 328
- Topics
