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Turkish Journal of Mathematics

Abstract

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.

DOI

10.3906/mat-2010-90

Keywords

Alexandroff space, submaximal space, door space, Whyburn space

First Page

479

Last Page

486

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