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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Mapping theorems on mesocompact spaces


Authors: Kuo Shih Kao and Li Sheng Wu
Journal: Proc. Amer. Math. Soc. 89 (1983), 355-357
MSC: Primary 54D20; Secondary 54C10
MathSciNet review: 712651
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Abstract: In this paper we prove two mapping theorems on mesocompact spaces: (1) Perfect mappings preserve mesocompactness; (2) Closed mappings preserve normal mesocompactness.


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DOI: https://doi.org/10.1090/S0002-9939-1983-0712651-5
Keywords: Paracompact, metacompact, mesocompact, isocompact, semiopen cover, directed cover, compact-covering mapping, pseudo-open mapping
Article copyright: © Copyright 1983 American Mathematical Society