Some Characterizations of Hopf Group on Fuzzy Topological Spaces

Document Type : Research Paper


1 Department of Mathematics, Faculty of Sciences and Literatures, Kastamonu University, 37110, Kastamonu, Turkey

2 Department of Mathematics, Faculty of Sciences, Ankara University, 06100, Ankara, Turkey


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.


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