Selection principles in the context of soft sets: Menger spaces.

Autor: Kočinac, Ljubiša D. R., Al-shami, Tareq M., Çetkin, Vildan
Předmět:
Zdroj: Soft Computing - A Fusion of Foundations, Methodologies & Applications; Oct2021, Vol. 25 Issue 20, p12693-12702, 10p
Abstrakt: The aim of this paper is to consider the Menger selection principle in the context of soft sets and to discuss its several features in this context. From this point of view, we first propose some new soft open covers and investigate their relations. We extend two well-known covering properties called Rothberger and Menger selection properties, appropriately to the soft setting. Then, we concentrate on soft Menger spaces and discuss most of the important properties of these soft topological spaces such as relations with its parameter topological spaces, subspaces, behavior under soft mappings, product spaces, and so on. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index