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Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces. (English) Zbl 1199.54052

Summary: A new class of fuzzy topological spaces called pairwise ordered fuzzy extremally disconnected spaces is introduced. The Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces is discussed as in the paper of T. Kubiak [J. Math. Anal. Appl. 125, 141–153 (1987; Zbl 0643.54008)] besides proving several other propositions and lemmas.

MSC:

54A40 Fuzzy topology
03E72 Theory of fuzzy sets, etc.

Citations:

Zbl 0643.54008
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