# On Minimal Î³-open Set

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We propose a new definition of pre-image entropy for continuous maps on noncompact topological spaces, investigate fundamental properties of the new pre-image entropy, and compare the new pre-image entropy with the existing ones. The defined pre-image entropy generates that of Cheng and...

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A new class of functions, called strongly faint e-continuous function, has been defined and studied. Relationships among strongly faint e-continuous functions and e-connected spaces, e-normal spaces and e-compact spaces are investigated. Furthermore, the relationships between strongly faint...

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In this work we study countably z-compact spaces and z-Lindelof spaces. Several new properties of them are given. It is proved that every countably z-compact space is pseuodocompact (a space on which every real valued continuous function is bounded). Spaces which are countably z-compact but not...

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We prove that given an ordinal Î± with 0 < Î± â‰¤ Ï‰ and Î± â‰ Î²+1, where Î² is a limit ordinal, there exists an F-compact space of spectral height Î±.

- Homotopy Characterization of ANR Function Spaces. Smrekar, Jaka // Journal of Function Spaces & Applications;2013, p1
Let Y be an absolute neighbourhood retract (ANR) for the class of metric spaces and let X be a topological space. Let YX denote the space of continuous maps from X to Y equipped with the compact open topology. We show that if X is a compactly generated Tychonoff space and Y is not discrete, then...

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In this paper, we introduce and study the concept of normality, Regularity and compactness of sb* - closed set in topological spaces and some of the properties are discuseed.

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Let A be a stable, Ïƒ-unital C*-algebra which is a C0(X)-algebra, that is, for which there is a continuous map Ï† from Prim(A), the primitive ideal space of A with the hull-kernel topology, to the locally compact Hausdorff space X. We show that there is an injective map L from the lattice...

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The inversion problem for a local Pompeiu transformation of rank one on sym- metric spaces X of the noncompact type is studied. The reconstruction of a function defined in the ball B âŠ‚ X by its averages on balls of two fixed radii lying in B is obtained.

- Weakly generalized compactness in intuitionistic fuzzy topological spaces. Rajarajeswari, P.; Moorthy, R. Krishna // Scientia Magna;2012, Vol. 8 Issue 4, p108
The aim of this paper is to introduce and study the concepts of weakly generalized compact space, almost weakly generalized compact space using intuitionistic fuzzy weakly generalized open sets and nearly weakly generalized compact space using intuitionistic fuzzy weakly generalized closed sets...