Construction of compactifications using essential semilattice homomorphisms
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- by A. Caterino, G. D. Faulkner and M. C. Vipera PDF
- Proc. Amer. Math. Soc. 116 (1992), 851-860 Request permission
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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 851-860
- MSC: Primary 54D35; Secondary 54C10, 54D40
- DOI: https://doi.org/10.1090/S0002-9939-1992-1111215-7
- MathSciNet review: 1111215