Results 1 to 10 of about 177 (174)
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 ...
Bhamini M. P. Nayar
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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.
Adolfo Pimienta, Manuel Sanchis
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On some properties of the space of minimal prime ideals of 𝐶𝑐 (𝑋) [PDF]
Categories and General Algebraic Structures with Applications, 2022 In this article we consider some relations between the topological properties of the spaces X and Min(Cc (X)) with algebraic properties of Cc (X). We observe that the compactness of Min(Cc (X)) is equivalent to the von-Neumann regularity of qc (X ...
Zahra Keshtkar +3 more
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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 C ∗ {C^\ast } -embedded in an extremally disconnected compactum.
Dow, Alan, van Mill, Jan
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Advances in Fuzzy Systems, 2022 In this paper, we introduce fuzzy nano (resp. δ, δS, P and Z) locally closed set and fuzzy nano (resp. δ, δS, P and Z) extremally disconnected spaces in fuzzy nano topological spaces. Also, we introduce some new spaces called fuzzy nano (resp.
R. Thangammal +6 more
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A Note On Neutrosophic Chaotic Continuous Functions [PDF]
Neutrosophic Sets and Systems, 2019 Many real time problems are based on uncertainity and chaotic environment. To demonstrate this ambiguous suituation more precisely we intend to amalgamate the ideas of chaos theory and neutrosophy.
T. Madhumathi +2 more
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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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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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