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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.
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