Selection principles in the context of soft sets: Menger spaces

Kocinac L. D. R., Al-shami T. M., ÇETKİN V.

SOFT COMPUTING, cilt.25, sa.20, ss.12693-12702, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 20
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00500-021-06069-6
  • Dergi Adı: SOFT COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.12693-12702
  • Anahtar Kelimeler: Soft set, Soft topology, Selection principles, Soft Menger space, Hereditary properties, SEPARATION AXIOMS, OPEN COVERS, COMBINATORICS, COMPACT
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.