A Space Having the Homotopy Type with Fuzzy ModulesJournal: International Journal of Science and Research (IJSR) (Vol.3, No. 10)
Publication Date: 2014-10-05
Authors : Pravanjan Kumar Rana;
Page : 504-507
Keywords : Fuzzy module; function spaces; Category; homotopy type; Complex;
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.
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