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Generalized Metric Spaces and Mappings

  • Book
  • © 2016

Overview

Authors:
  1. Shou Lin

    1. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, China

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    You can also search for this author in PubMed   Google Scholar

  2. Ziqiu Yun

    1. Department of Mathematics, Soochow University, Suzhou, China

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    You can also search for this author in PubMed   Google Scholar

  • This is the first book on generalized metrizable spaces
  • This is the first book to achieve the classification of spaces by means of mappings
  • Suitable as a text book for graduate students or senior undergraduates
  • Researchers in this field can also use this book as a valuable reference
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Studies in Mathematics (ATLANTISSM, volume 6)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-xvi
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  2. The Origin of Generalized Metric Spaces

    • Shou Lin, Ziqiu Yun
    Pages 1-51

  3. Mappings on Metric Spaces

    • Shou Lin, Ziqiu Yun
    Pages 53-146

  4. Generalized Metric Spaces

    • Shou Lin, Ziqiu Yun
    Pages 147-258

  5. Back Matter

    Pages 259-328
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Keywords

About this book

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.

Authors and Affiliations

  • School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, China

    Shou Lin

  • Department of Mathematics, Soochow University, Suzhou, China

    Ziqiu Yun

Bibliographic Information

  • Book Title: Generalized Metric Spaces and Mappings

  • Authors: Shou Lin, Ziqiu Yun

  • Series Title: Atlantis Studies in Mathematics

  • DOI: https://doi.org/10.2991/978-94-6239-216-8

  • Publisher: Atlantis Press Paris

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Atlantis Press and the author(s) 2016

  • Hardcover ISBN: 978-94-6239-215-1Published: 03 November 2016

  • eBook ISBN: 978-94-6239-216-8Published: 20 October 2016

  • Series ISSN: 1875-7634

  • Series E-ISSN: 2215-1885

  • Edition Number: 1

  • Number of Pages: XVI, 328

  • Topics: Mathematics, general

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