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On some ordinary and fuzzy homogenity types
S. Al Ghour and K. Al-Zoubi
Received: March 6, 2007; Revised: April 20, 2008; Accepted: April 22, 2008
Abstract. Finite SLH topological spaces are characterized as partition topological spaces. As a consequence, two partial answers for a question raised in  are obtained. Closed-homogeneous topological spaces are characterized. Having a minimal open set is proved to be a sufficient condition for a homogeneous topological space to be closed-homogeneous. Closed-homogeneity is extended to include fuzzy topological spaces as a "good extension" according to Lowen's sense of closed-homogeneity in ordinary topological spaces. It is proved that homogeneity and closed-homogeneity in fuzzy topological spaces are equivalent under some conditions. Various open questions are also given.
Keywords: homogeneity; strong local homogeneity; local homogeneity; closed homogeneity; generated topologies.
AMS Subject classification: Primary: 54A40.
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