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Proceedings of the American Mathematical Society

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

 
 

 

On the first countability of hyperspaces


Author: Takemi Mizokami
Journal: Proc. Amer. Math. Soc. 67 (1977), 152-156
MSC: Primary 54B20
DOI: https://doi.org/10.1090/S0002-9939-1977-0454899-0
MathSciNet review: 0454899
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Abstract: In this paper, the heredity of first countability of a space X on the hyperspace $ \mathcal{C}(X)$ of nonempty compact subsets of X with the finite topology is investigated and some variations are given.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0454899-0
Keywords: Hyperspaces, the finite topology, countable character, open and compact-covering mappings
Article copyright: © Copyright 1977 American Mathematical Society

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