Some Characterizations of Hopf Group on Fuzzy Topological Spaces

In this paper, some fundamental concepts are given relating to fuzzytopological spaces. Then it is shown that there is a contravariant functorfrom the category of the pointed fuzzy topological spaces to the category ofgroups and homomorphisms. Also the fuzzy topological spaces which are Hopfspaces are investigated and it is shown that a pointed fuzzy toplogicalspace having the same homotopy type as an Hopf group is itself an Hopf group.

کلیدواژه ها:

Fuzzy homotopy ، Fuzzy pointed topological space ، Fuzzy set ، Hopf group ، Hopf space