MATHEMATICA BOHEMICA, Vol. 133, No. 4, pp. 341-349, 2008

Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces

M. K. Uma, E. Roja, G. Balasubramanian

M. K. Uma, E. Roja, Department of Mathematics, Sri Sarada College for Women, Salem-636 016, Tamilnadu, India; G. Balasubramanian, Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai-600 005, Tamilnadu, India

Abstract: In this paper a new class of fuzzy topological spaces called pairwise ordered fuzzy extremally disconnected spaces is introduced. Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces has been discussed as in the paper of Kubiak (1987) besides proving several other propositions and lemmas.

Keywords: pairwise ordered fuzzy extremally disconnected space, ordered $T_1$-fuzzy continuous function, lower (upper) $T_1$-fuzzy continuous functions

Classification (MSC 2000): 54A40, 03E72

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