Results about the Alexandroff duplicate space

• Autores: Khulod Almontashery, Lutfi Kalantan
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 17, Nº. 2, 2016, págs. 117-122
• Idioma: inglés
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• Resumen

  • 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, pseudo compact. We prove that if X is $\alpha$-normal, epinormal, or has property $\omega D$, then so is A(X). We prove almost normality is preserved by A(X) under special conditions.