Compactness in L-Fuzzy Topological Spaces

2010/10/24 by Luna-Torres, Joaquin, Salazar-Buelvas, Elias
#06B23 #54A40 #54D30 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1010.4970

Abstract

We give a definition of compactness in L-fuzzy topological spaces and provide a characterization of compact L-fuzzy topological spaces, where L is a complete quasi-monoidal lattice with some additional structures, and we present a version of Tychonoff's theorem within the category of L-fuzzy topological spaces.

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