Results 21 to 30 of about 363 (203)
-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. Ahmed Abd El-Baki, Yaser M. Saber
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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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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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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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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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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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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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A NOTE ON EXTREMALLY DISCONNECTED SPACES [PDF]
, 2020 In this paper we give several equivalent characterizations of extremally disconnected ...
Majid Mirmiran
core
Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
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