Results 31 to 40 of about 427 (213)
F-points in countably compact spaces
Applied General Topology, 2001 Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.
Angelo Bella, V.I. Malykhin
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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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Generalized closed sets: a unified approach
Applied General Topology, 2001 We investigate various classes of generalized closed sets of a topological space in a unified way by studying the notion of qr-closed sets. New characterizations of some existing classes of generalized closed sets and topological spaces are given.
Jiling Cao +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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-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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Measure-theoretic characterizations of hereditarily-normal spaces
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we characterize hereditarily-normal spaces in terms of the measure-theoretic properties of the lattice of closed sets. We then generalize from that lattice to other lattices. We apply the results to extremally-disconnected spaces.
Joseph Hertzlinger
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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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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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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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