Results 1 to 10 of about 211 (103)
Continuous Selections and Extremally Disconnected Spaces [PDF]
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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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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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 ...
Evgenii Reznichenko
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Extremally disconnected spaces, subspaces and retracts
Topology and Its Applications, 1993 There is the problem of a satisfactory characterization of the class \(k\)- ED of compact subspaces of extremally disconnected (ED) spaces. An early conjecture of Choquet -- that \(k\)-ED coincides with the class of compact 0-dimensional \(F\)-spaces -- has been shown by \textit{E. K. van Douwen} and \textit{J. van Mill} [Trans. Am. Math. Soc. 259, 121-
J Vermeer
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A homogeneous extremally disconnected countably compact space
Topology and Its Applications, 1987 The authors prove (in ZFC) that there exist infinite homogeneous countably compact extremally disconnected spaces. (This contrasts to the previously known result that infinite homogeneous compact extremally disconnected spaces do not exist). They also produce, using Martin's axiom, two countably compact homogeneous extremally disconnected spaces whose ...
W W Comfort, Jan Van Mill
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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
Dow, Alan, van Mill, Jan
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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
Takashi Noiri
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Disconnection in the Alexandroff duplicate [PDF]
Applied General Topology, 2021 It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the naturals is not extremally disconnected. The question was raised as to whether the Alexandroff duplicate of a non-discrete extremally disconnected space ...
Papiya Bhattacharjee +2 more
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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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Results about the Alexandroff duplicate space
Applied General Topology, 2016 In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following properties: extremally ...
Khulod Almontashery, Lutfi Kalantan
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