Soft Ditopological Spaces
General Mathematics
2016-10-23 v1
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.
Cite
@article{arxiv.1511.07778,
title = {Soft Ditopological Spaces},
author = {Tugbahan Simsekler Dizman and Alexander Sostak and Saziye Yuksel},
journal= {arXiv preprint arXiv:1511.07778},
year = {2016}
}