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.File in questo prodotto:
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