A Wallman-type compactification for convergence spaces

Gazik, R. J.; Park, B. H.; Richardson, G. D.

doi:10.1090/S0002-9939-1984-0754726-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

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A Wallman-type compactification for convergence spaces
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by R. J. Gazik, B. H. Park and G. D. Richardson PDF

Proc. Amer. Math. Soc. 92 (1984), 301-304 Request permission

Abstract:

A compactification for any given convergence space is constructed. The compactification has the unique continuous extension property subject to reasonable assumptions on the range space. Properties of the compactification are studied.

References

G. D. Richardson and D. C. Kent, Regular compactifications of convergence spaces, Proc. Amer. Math. Soc. 31 (1972), 571–573. MR 286074, DOI 10.1090/S0002-9939-1972-0286074-2
D. C. Kent and G. D. Richardson, Compactifications of convergence spaces, Internat. J. Math. Math. Sci. 2 (1979), no. 3, 345–368. MR 542954, DOI 10.1155/S0161171279000302