ON THE FUZZY SHEAF OF THE FUNDAMENTAL GROUPS

ON THE FUZZY SHEAF OF THE FUNDAMENTAL GROUPS

Let X be a fuzzy path connected space and Hαλ be the fundamental group of X based for any αλ ∊X, that is π₁(X, αλ). 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 contin...

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Veröffentlicht in:Taiwanese journal of mathematics 2007-09, Vol.11 (4), p.1057-1062
Hauptverfasser: Güner, Erdal, Balci, Sabahattin
Format: Artikel
Sprache:eng
Schlagworte:
Fuzzy sets
Homomorphisms
Mathematical theorems
Membership functions
Topological spaces
Topological theorems
Topological vector spaces
Topology
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Zusammenfassung:Let X be a fuzzy path connected space and Hαλ be the fundamental group of X based for any αλ ∊X, that is π₁(X, αλ). 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.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500404802