A Space Having the Homotopy Type with Fuzzy Modules

Dr. Pravanjan Kumar Rana

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

How to Cite?: Dr. Pravanjan Kumar Rana, "A Space Having the Homotopy Type with Fuzzy Modules", Volume 3 Issue 10, October 2014, International Journal of Science and Research (IJSR), Pages: 504-507, https://www.ijsr.net/getabstract.php?paperid=OCT1482, DOI: https://dx.doi.org/10.21275/OCT1482