论文信息 - L-fuzzy normal spaces and Tietze extension theorem

L-fuzzy normal spaces and Tietze extension theorem

Abstract In this paper we prove a characterization theorem for normal L -fuzzy topological spaces ( L is an infinitely distributive lattice with an order-reversing involution). In the particular case L = {0, 1} this theorem reduces to a known result of Katětov ( Fund. Math. 38 (1951), 85–91) and Tong ( Duke Math. J. 19 (1952), 289–292). As an important application we obtain a fuzzy version of Tietze extension theorem. This yields an affirmative answer to a question raised in a series of papers by Rodabaugh ( Fuzzy Sets and Systems 11 (1983), 163–183).

Tomasz Kubiak | T. Kubiak

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