《Generalized Metric Spaces and Mappings（廣義度量空間與映射）》是2017年科學出版社出版的圖書，作者是Shou Lin、Ziqiu Yun。
基本介紹
- 書名：Generalized Metric Spaces and Mappings（廣義度量空間與映射）
- 作者：Shou Lin、Ziqiu Yun
- 出版社：科學出版社
- 出版時間：2017年1月
- ISBN：9787030522214
內容簡介,圖書目錄,
內容簡介
What are generalized metric spaces? Most often, this expression denotes a system of classes of topological spaces, each of which is defined with the help of some typical topological property of metrizable spaces. For example, the classes of paracompact spaces, Moore spaces, spaces with a point- countable base, submetrizable spaces, perfectly normal spaces, first-countable spaces belong to this system. We also include in it the class of symmetrizable spaces and the class of A-metrizable spaces. The topologies of these spaces are generated by generalized metrics. In this way we obtain a rich system of classes of topological sp paces which are all emerging, growing and spreading in many directions, from the same powerful germ, - the concept of the topology generated by a metric.
圖書目錄
Foreword
Preface
Preface to the English Edition
Chapter 1 The origin of generalized metric spaces
Chapter 2 Mappings on metric spaces
Chapter 3 Generalized metric spaces
Appendix A Characterizations of several covering properties
Appendix B The formation of the theory of generalized metric spaces
Bibliography
Index
Mathematics Monograph Series
