Convergence in topological and fuzzy topological spaces
2006
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Advisor: Yrd. Doç. Dr. Sabri Birlik
Abstract (EN)
This study includes five chapters. The first and second chapters present topological preliminaries and sequences, nets, and filters concepts in topological spaces, and their convergence. In the third chapter, detailed information about Fuzzy point, Fuzzy set, and Fuzzy topology was given. In the fourth chapter, Fuzzy sequence, Fuzzy nets, and Fuzzy filters concepts in Fuzzy topological spaces were handled, and their convergences were analyzed in details. In the last chapter, the relation between the convergence of Fuzzy nets and the convergence of Fuzzy filters was analyzed. Keywords: Fuzzy point, Fuzzy set, Q- neighbourhood, Fuzzy sequences, Fuzzy nets, Fuzzy filters, adherent point, limit, Fuzzy convergence.
Author
Sedat Bulu
How to Cite
Sedat Bulu (Master Thesis). Convergence in topological and fuzzy topological spaces, 2006, Gaziantep University.
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