Results 1 to 10 of about 50 (49)
Extremally Disconnected Spaces [PDF]
Proceedings of the American Mathematical Society, 2003 We give an example of an extremally disconnected Dowker space. Our basic tool is that every P P -space can be
Dow, Alan, van Mill, Jan
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Compact and extremally disconnected spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Viglino defined a Hausdorff topological space to be C‐compact if each closed subset of the space is an H‐set in the sense of Veličko. In this paper, we study the class of Hausdorff spaces characterized by the property that each closed subset is an S‐set in the sense of Dickman and Krystock. Such spaces are called C‐s‐compact.
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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
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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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-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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Homogeneous subspaces of products of extremally disconnected spaces [PDF]
Topology and its Applications, 2020 Homogeneous countably compact spaces $X$ and $Y$ whose product $X\times Y$ is not pseudocompact are constructed. It is proved that all compact subsets of homogeneous subspaces of the third power of an extremally disconnected space are finite. Moreover, under CH, all compact subsets of homogeneous subspaces of any finite power of an extremally ...
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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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Continuous Selections and Extremally Disconnected Spaces
Mathematics, 2023 This paper deals with extremally disconnected spaces and extremally disconnected P-spaces. A space X is said to be extremally disconnected if, for every open subset V of X, the closure of V in X is also an open set. P-spaces are spaces in which the intersection of countably many open sets is an open set.
Pimienta, Adolfo, Sanchis, Manuel
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A study of extremally disconnected topological spaces [PDF]
Bulletin of Mathematical Sciences, 2011 Throughout, all spaces are assumed to be Tychonoff. A space \(X\) is \textit{extremally disconnected} (\textit{e.d.}~for short) if open subsets of \(X\) have open closures. Any discrete space is a prototypical example of an e.d.~space, though a plethora of non-discrete extremally disconnected spaces is present in mathematics. Let us just mention a fact
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