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Research Paper | Mathematics | India | Volume 3 Issue 10, October 2014
A Space Having the Homotopy Type with Fuzzy Modules
Abstract: Let denotes the class of all homotopy type of fuzzy modules. In this paper first we construct a homotopy type invariant functor associated with fuzzy modules as well as we investigate function spaces FM associated with this functor, where F denotes the category of fuzzy left R-module and fuzzy R-map and M denotes the category of R-modules and R-homomorphisms. Also we show that; i) if F be the category of fuzzy left R-module and fuzzy R-map, then F is a countable CW-Complex; and ii) if M denotes the category of left R-modules and R-homomorphisms, then M is a compact metric space.
Keywords: Fuzzy module, function spaces, Category, homotopy type, Complex
Edition: Volume 3 Issue 10, October 2014,
Pages: 504 - 507