Results 11 to 20 of about 98 (95)
ON /-EXTREMALLY DISCONNECTED SPACES
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1999 Abstract. We have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of extremal disconnectedness and I-extremal disconnectedness are independent of each other. About the letter one, we observed that every open subset of an I-extremally disconnected space is also an I ...
KESKİN, Aynur +2 more
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Continuous functions on extremally disconnected spaces [PDF]
Transactions of the American Mathematical Society, 1995 Using results and techniques due to Abramovich, Arenson and Kitover it is shown that each fixed-point set of a selfmap of a compact extremally disconnected space is a retract of that space, and that the retraction can be constructed from the particular selfmap itself.
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A Note on Extremally Disconnected Spaces [PDF]
Proceedings of the American Mathematical Society, 1980 A topological space X is said to be locally S-closed if each point of X has an open neighborhood which is an S-closed subspace of X. In this note it is shown that every locally S-closed weakly Hausdorff (or almost-regular) space is extremally disconnected.
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-Fuzzy Extremally Disconnected Ideal Topological Spaces [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2010 The notion of ★-Externally disconnected fuzzy ideal topological spaces is introduced and studied. Many characterizations of the space are obtained.
S.A. Abd El-Baki, Yaser M. Saber
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On Semicompact Sets and Associated Properties
International Journal of Mathematics and Mathematical Sciences, 2009 We continue the study of semicompact sets in a topological space. Several properties, mapping properties of semicompact sets are studied. A special interest to 𝑆𝐶𝑆 spaces is given, where a space 𝑋 is 𝑆𝐶𝑆 if every subset of 𝑋 which is semicompact in 𝑋 is
Mohammad S. Sarsak
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On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces
Mathematics, 2018 In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we
Wadei Al-Omeri, Saeid Jafari
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rc-continuous functions and functions with rc-strongly closed graph
International Journal of Mathematics and Mathematical Sciences, 2003 The family of regular closed subsets of a topological space is used to introduce two concepts concerning a function f from a space X to a space Y. The first of them is the notion of f being rc-continuous.
Bassam Al-Nashef
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International Journal of Mathematics and Mathematical Sciences, 2001 We introduce the class of countably I-compact spaces as a proper subclass of countably S-closed spaces. A topological space (X,T) is called countably I-compact if every countable cover of X by regular closed subsets contains a finite subfamily whose ...
Bassam Al-Nashef
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On rings of real valued clopen continuous functions
Applied General Topology, 2018 Among variant kinds of strong continuity in the literature, the clopen continuity or cl-supercontinuity (i.e., inverse image of every open set is a union of clopen sets) is considered in this paper.
Susan Afrooz +2 more
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Extremally Disconnected Spaces and Compactifications
Journal of Advanced Studies in Topology, 2012 This paper deal with conditions on a topological space \(X\) to get its compactification \(K(X)\) an extremally disconnected space. The case of the Alexandroff compactification, \(T_0\)-compactification and Wallman compactification are studied.
Karim Belaid, Ebtesam Musaidy
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