Ukrainian Mathematical Bulletin

Volume 3, Issue 3, 2006 pp. 369-379.

Tietze Extension Theorem for Ordered Fuzzy $G_\delta$-extremally Disconnected Spaces

Authors: Elangovan Roja, Mallasamudram K. Uma, and Ganesan Balasubramanian
Author institution: Elangovan Roja, Mallasamudram Kuppuratnam Uma, Department of Mathematics, Sri Sarada College for Women, Salem--636, 016, Tamil Nadu, India, sudha_nice@yahoo.com, Ganesan Balasubramanian, University of Madras, Chennai--600 005, Tamil Nadu, India, rpbalan@sancharnet.in

Summary: In this paper, a new class of fuzzy topological spaces, called ordered fuzzy $G_\delta$-extremally disconnected spaces, is introduced. Tietze extension theorem for ordered fuzzy $G_\delta$-extremally disconnected spaces has been discussed as in \cite{R10} besides proving several other propositions and lemmas.

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