Soft Ditopological Spaces

Tugbahan Simsekler Dizman; Alexander Sostak; Saziye Yuksel

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arXiv · 1511.07778

Soft Ditopological Spaces

Tugbahan Simsekler Dizman·Alexander Sostak·Saziye Yuksel

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Abstract

We introduce the concept of a soft ditopological space as the "soft generalization" of the concept of a ditopological space as it is defined in the papers by L.M. Brown and co-authors, see e.g. L. M. Brown, R. Erturk, S. Dost, Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets and Systems 147 (2) (2004), 17. Actually a soft ditopological space is a soft set with two independent structures on it - a soft topology and a soft co-topology. The first one is used to describe openness-type properties of a space while the second one deals with its closedness-type properties. We study basic properties of such spaces and accordingly defined continuous mappings between such spaces.

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Tugbahan Simsekler Dizman, Alexander Sostak, Saziye Yuksel. 2015-11-11. Soft Ditopological Spaces. https://arxiv.org/abs/1511.07778

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