A-spectral spaces

Karim Belaid; Othman Echi; Riyadh Gargouri

doi:10.1016/j.topol.2003.08.009

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A-spectral spaces

Karim Belaid, Othman Echi and Riyadh Gargouri

Topology and its applications, Vol.138(1), pp.315-322

28/03/2004

DOI: https://doi.org/10.1016/j.topol.2003.08.009

Abstract

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One point compactification

Spectral set

Spectral topology

By an A-spectral space, we mean a topological space X such that the Alexandroff extension (one point compactification) of X is a spectral space. We give necessary and sufficient conditions on the space X in order to get it A-spectral.

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Title: A-spectral spaces
Creators - without role: Karim Belaid - Department of Mathematics, ESST Tunis, 5 Avenue Taha Hussein, Tunis B.P. 56, Bab Mnara 1008, Tunisia
Othman Echi - Tunis University
Riyadh Gargouri - Department of Mathematics, IPEIS, 5 Route Menzel Chaker Km 0,5 B.P. 805, 3018 Sfax, Tunisia
Publication Details: Topology and its applications, Vol.138(1), pp.315-322
Publisher: Elsevier B.V
Identifiers: 9914619408331
Academic Unit: Imam Abdulrahman Bin Faisal University
Language: English
Resource Type: Journal article