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Results about the Alexandroff duplicate space
Journal article   Open access  Peer reviewed

Results about the Alexandroff duplicate space

Khulod Almontashery and Lutfi Kalantan
Applied general topology, Vol.17(2), pp.117-122
03/10/2016

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following properties: extremally disconnected, weakly extremally disconnected, quasi-normal, pseudocompact. We prove that if X is a normal, epinormal, or has property wD, then so is A(X). We prove almost normality is preserved by A(X) under special conditions.
url
https://doi.org/10.4995/agt.2016.4521View
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