Generalized Metric Spaces and Mappings
Atlantis Press | Mathematics | November 21, 2016 | ISBN-10: 9462392153 | 328 pages | pdf | 3.35 mb
Atlantis Press | Mathematics | November 21, 2016 | ISBN-10: 9462392153 | 328 pages | pdf | 3.35 mb
Authors: Lin, Shou, Yun, Ziqiu
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
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.
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