Results about the Alexandroff duplicate space | Zendy

Khulod Almontashery | Zendy; Lutfi Kalantan | Zendy

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Results about the Alexandroff duplicate space

Author(s) -

Khulod Almontashery,

Lutfi Kalantan

Publication year - 2016

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2016.4521

Subject(s) - mathematics , space (punctuation) , normality , property (philosophy) , combinatorics , omega , pure mathematics , statistics , computer science , epistemology , philosophy , operating system , physics , quantum mechanics

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

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