ON THE FUZZY SHEAF OF THE FUNDAMENTAL GROUPS

Abstract

Let $X$ be a fuzzy path connected space and $H_{a_{\lambda}}$ be the fundamental group of $X$ based for any $a_{\lambda} \in X$, that is $\pi_{1}(X,a_{\lambda})$. Constructing the fuzzy sheaf of the fundamental groups of $X$, it is shown that there is a covariant functor from the category of fuzzy path connected topological spaces and fuzzy continuous mappings to the category of fuzzy sheaves and fuzzy sheaf homomorphisms.