Three topological structures of smooth topological spaces

Demirci M.

FUZZY SETS AND SYSTEMS, cilt.101, sa.1, ss.185-190, 1999 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 101 Sayı: 1
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0165-0114(97)00117-6
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.185-190
  • Anahtar Kelimeler: fuzzy topology, smooth topology, gradation of openness, fuzzy continuity, fuzzy compactness (TOPO)
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Various concepts related to smooth topological spaces have been introduced, and relations among them studied by several authors [2-6]. In this pager we introduce the notions of smooth, quasi-smooth and weak smooth structure, showing that various properties of a smooth topological space can be expressed in terms of these structures. In particular, the definitions and the results of [2-6] may be expressed in terms of the smooth and quasi-smooth structures. Then we will set out the fundamental concepts of these three structures and the relations between them. (C) 1999 Elsevier Science B.V. All rights reserved.