Compactification of a convergence space

Kumar, Vinod

doi:10.1090/S0002-9939-1979-0516474-0

Compactification of a convergence space
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Proc. Amer. Math. Soc. 73 (1979), 256-262 Request permission

Abstract:

A characterization for the class of convergence spaces having the largest Hausdorff compactification is given, and regularity and $\lambda$-Hausdorffness of modified Richardson compactification are discussed.

References

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On extremal compactifications of convergence spaces

G. D. Richardson, A Stone-Čech compactification for limit spaces, Proc. Amer. Math. Soc. 25 (1970), 403–404. MR 256336, DOI 10.1090/S0002-9939-1970-0256336-1
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
Vinod Kumar, On the largest Hausdorff compactification of a Hausdorff convergence space, Bull. Austral. Math. Soc. 16 (1977), no. 2, 189–197. MR 451203, DOI 10.1017/S0004972700023182