Some characterizations of hopf group on fuzzy topological spaces

Demiralp S., GÜNER E.

Iranian Journal of Fuzzy Systems, cilt.11, sa.6, ss.111-121, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 6
  • Basım Tarihi: 2014
  • Dergi Adı: Iranian Journal of Fuzzy Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.111-121
  • Anahtar Kelimeler: Fuzzy homotopy, Fuzzy pointed topological space, Fuzzy set, Hopf group, Hopf space
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2014 University of Sistan and Baluchestan. All rights reseved.In this paper, some fundamental concepts are given relating to fuzzy topological spaces. Then it is shown that there is a contravariant functor from the category of the pointed fuzzy topological spaces to the category of groups and homomorphisms. Also the fuzzy topological spaces which are Hopf spaces are investigated and it is shown that a pointed fuzzy toplogical space having the same homotopy type as an Hopf group is itself an Hopf group.