The algebraic face of the Alexandro one point compatication

We give a characterization, in algebraic terms, of the Alexandroff one point compactication of a locally compact Hausdorff space. In fact, we prove that if (X, T) is a locally compact Hausdorff space, then (X', T') point compactication if and only if T is a maximal ideal of T'.  ...

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Bibliographic Details
Main Authors: Luz Marchan, Jorge Enrique Vielma
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/48205