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Proceedings of the American Mathematical Society

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

 

 

Characterizations of $ C$-compact spaces


Authors: Larry L. Herrington and Paul E. Long
Journal: Proc. Amer. Math. Soc. 52 (1975), 417-426
MSC: Primary 54D30
DOI: https://doi.org/10.1090/S0002-9939-1975-0388345-0
MathSciNet review: 0388345
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Abstract: This paper gives characterizations of $ C$-compact spaces, some of which make use of nets. Sufficient conditions for a space to be $ C$-compact are given which make use of the graphs of weakly-continuous functions and a class of spaces which contains the class of Hausdorff completely normal and fully normal spaces.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0388345-0
Keywords: $ C$-compact spaces, weakly continuous functions, functions with closed graphs
Article copyright: © Copyright 1975 American Mathematical Society