Mappings on Metric Spaces

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


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.


Alexandroff Important Intrinsic Properties Arhangel Point-countable Base Quotient Image 
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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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