Construction of compactifications using essential semilattice homomorphisms

Caterino, A.; Faulkner, G. D.; Vipera, M. C.

doi:10.1090/S0002-9939-1992-1111215-7

Construction of compactifications using essential semilattice homomorphisms
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by A. Caterino, G. D. Faulkner and M. C. Vipera

Proc. Amer. Math. Soc. 116 (1992), 851-860

DOI: https://doi.org/10.1090/S0002-9939-1992-1111215-7

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Abstract:

In this paper we introduce a new method for constructing compactifications of a locally compact space. The method generalizes the notion of a singular compactification to a much larger collection of compactifications, which we call ESH-compactifications. In particular, if $X$ is paracompact, or realcompact, then $\beta X$ is of this form. We also establish conditions that ensure an ESH-compactification is a singular or weakly singular compactification.

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