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Proceedings of the American Mathematical Society

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

 

 

$ T$-regular-closed convergence spaces


Authors: D. C. Kent, G. D. Richardson and R. J. Gazik
Journal: Proc. Amer. Math. Soc. 51 (1975), 461-468
MSC: Primary 54A20; Secondary 54D35
DOI: https://doi.org/10.1090/S0002-9939-1975-0375202-9
MathSciNet review: 0375202
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Abstract: It is known that a convergence space which has a regular compactification is almost identical to a completely regular topological space. It is shown that a less restricitive class of convetgence spaces have $ T$-regular-closed extensions with the universal property of the Stone-Čech compactification.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0375202-9
Keywords: Convetgence spaces, $ T$-regular convergence spaces, $ T$-regular-closed spaces, $ T$-regular-closed extensions
Article copyright: © Copyright 1975 American Mathematical Society