ARE HIGHER FUZZY SEPARATION AXIOMS GOOD EXTENSIONS?

摘要

A system of separation axioms for fuzzy topological spaces has been introduced by Hutton and Reilly [Fuzzy Sets Syst.3 (1980), 93–104]. Wang and Hu [J. Math. Anal. Appl.108 (1985), 495–5061 proved that the lower ones are good extensions in the sense of Lowen [J. Math. Anal. Appl.64 (1978), 446–4541. We close this gap by proving that also the higher separation axioms are good extensions of the corresponding topological axioms.