Results 1 to 10 of about 363 (203)
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
doaj +5 more sources
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
doaj +4 more sources
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
exaly +5 more sources
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
exaly +3 more sources
Dynamical systems on compact extremally disconnected spaces
Topology and Its Applications, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alan Dow
exaly +3 more sources
On some classes of sets in extremally disconnected spaces
Demonstratio Mathematica, 2011 Abstract In the present paper several characterizations of the classical notion of extremally disconnected spaces are obtained. A few relationships for finite products of extremally disconnected spaces are also studied.
Zbigniew Duszyński
exaly +3 more sources
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
doaj +2 more sources
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
openaire +2 more sources
Extremally Disconnected Spaces [PDF]
Proceedings of the American Mathematical Society, 1967 Dona Papert Strauss
exaly +4 more sources
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
core +4 more sources