L-Fuzzy Topological Spaces and L-Fuzzy Quasi-Proximity Spaces

Abstract

Abstract. This paper studies the relationship between L-fuzzy proximities and L-fuzzy topologies by topological fuzzy remote neighborhood systems. We will prove that the category of L-fuzzy topological spaces can be embedded in the category of L-fuzzy quasiproximity spaces as a coreflective full subcategory.