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On some topological properties in the class of Alexandroff spaces
Journal article   Peer reviewed

On some topological properties in the class of Alexandroff spaces

Sami Lazaar, Houssem Sabri and Randa Tahri
Turkish journal of mathematics, Vol.45(1), pp.479-486
21/01/2021
DOI: https://doi.org/10.3906/mat-2010-90

Abstract

Mathematics Physical Sciences Science & Technology
In the class of Alexandroff spaces we study the properties of being a submaximal, door, Whyburn and weakly Whyburn space. We provide characterizations in order theoretical terms. Connections with posets, counting formulas and numerical results in the class of finite spaces are also given.

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