Construction of compactifications using essential semilattice homomorphisms

Author:

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

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 X is paracompact, or realcompact, then β X \beta X is of this form. We also establish conditions that ensure an ESH-compactification is a singular or weakly singular compactification.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

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3. Lecture Notes in Pure and Applied Mathematics, Vol. 23;Chandler, Richard E.,1976

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1. Compactifications and quotient lattices of Wallman bases;Bulletin of the Australian Mathematical Society;1996-08

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