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Mappings on Metric Spaces

  • Shou LinEmail author
  • Ziqiu Yun
Chapter
  • 489 Downloads
Part of the Atlantis Studies in Mathematics book series (ATLANTISSM, volume 6)

Abstract

We start from the class of metrizable spaces, and to show that quotient mappings, pseudo-open mappings, open mappings and closed mappings really satisfy the requirements of being “nice” mappings. In this chapter, we follow the idea of Alexandroff and look for some important intrinsic properties of images or preimages of metric spaces.

Keywords

Alexandroff Important Intrinsic Properties Arhangel Point-countable Base Quotient Image 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Atlantis Press and the author(s) 2016

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsMinnan Normal UniversityZhangzhouChina
  2. 2.Department of MathematicsSoochow UniversitySuzhouChina

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