Generalization of inductive topologies to L-topological vector spaces

Authors:
Cong-hua Yan
Affiliations:
Department of Mathematics, Nanjing Normal University, Nanjing 210097, Jiangsu, China
Venue:
Fuzzy Sets and Systems - Mathematics
Year:
2002

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Abstract

In this paper, using the theory of L-topological vector spaces, we study some properties of inductive topologies determined by the family of L-fuzzy linear order-homomorphisms defined by Fang Jin-xuan (J. Fuzzy Math. 4(1) (1996) 93), and give a characterization of inductive topologies determined by a single L-fuzzy linear order-homomorphism. As an example, we point out the quotient L-topology of L-tvs is an inductive topology.