Some results on the fuzzy sheaf of the fundamental groups over fuzzy topological spaces

Authors : Erdal GÜNER

Pages : 0-0

Doi:10.1501/Commua1_0000000316

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Publication Date : 2006-01-01

Article Type : Research Paper

Abstract :Let X be a fuzzy path connected topological space and insert ignore into journalissuearticles values(H, be the fuzzy sheaf of fundamental groups över X. Constructing the group of fuzzy sections, 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 groups of fuzzy sections and homoınorphisms. Purthermore, defining the direct sum of the fuzzy sheaves, it is proved that the mapping J^i = insert ignore into journalissuearticles values(Pi,P*); `■ insert ignore into journalissuearticles values(A^ı X X2, X H2); —> {Xi,Hi); is a homomorphism for t = 1,2.
Keywords : fuzzy sheaf, fundamental groups, fuzzy topological spaces