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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