A new approach for fuzzy topology (I)
Fuzzy Sets and Systems
Point-set lattice-theoretic topology
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Some fundamental algebraic tools for the semantics of computation, part 3: indexed categories
Theoretical Computer Science
Sobriety and spatiality in varieties of algebras
Fuzzy Sets and Systems
Relationship of algebraic theories to powersets over objects in Set and Set×C
Fuzzy Sets and Systems
A categorical accommodation of various notions of fuzzy topology
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Overview and comparison of localic and fixed-basis topological products
Fuzzy Sets and Systems
Fuzzy algebras as a framework for fuzzy topology
Fuzzy Sets and Systems
Interweaving algebra and topology: Lattice-valued topological systems
Fuzzy Sets and Systems
Categorical foundations of variety-based topology and topological systems
Fuzzy Sets and Systems
Sobriety and spatiality in categories of lattice-valued algebras
Fuzzy Sets and Systems
Categorically algebraic topology versus universal topology
Fuzzy Sets and Systems
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This paper shows that (L,M)-fuzzy topology of U. Hohle, T. Kubiak and A. Sostak is an instance of a general fuzzification procedure for topological categories, which amounts to the construction of a new topological category from a given one. This fuzzification procedure motivates a partial dualization of the machinery of tower extension of topological constructs of D. Zhang, thereby providing the procedure of tower extension of topological categories. With the help of this dualization, we arrive at the meta-mathematical result that the concept of (L,M)-fuzzy topology and the notion of approach space of R. Lowen are ''dual'' to each other.