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 the Stone-Cech compactification of X is of this form. We also establish conditions that ensure an ESH-compactification is a singular or weakly singular compactification.

Construction of compactifications using essential semilattice homomorphisms

CATERINO, Alessandro;VIPERA, Maria Cristina
1992

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 the Stone-Cech compactification of 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1028670
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