Results 141 to 150 of about 160 (159)
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⋆-Extremally disconnected ideal topological spaces
Acta Mathematica Hungarica, 2008The notion of ⋆-extremally disconnected ideal topological spaces is introduced and studied. Many characterizations of the space are obtained.
EKİCİ, ERDAL, Noiri, T.
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On Homogeneous Extremally Disconnected Spaces
Results in Mathematics, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Extremally Disconnected Spaces and Absolutes
1988One of the best behaved classes of functions encountered in general topology is the class of perfect functions, which was discussed in 1.8. As we have already seen, two topological spaces, one of which is the perfect continuous image of the other, will have many topological properties in common. (Examples of a number of such properties are given in 1J.)
Jack R. Porter, R. Grant Woods
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S4.3 and hereditarily extremally disconnected spaces
Georgian Mathematical Journal, 2015AbstractThe modal logic S4.3 defines the class of hereditarily extremally disconnected spaces (HED-spaces).
Bezhanishvili, G. +3 more
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Fuzzy extremally disconnected spaces
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The k-Extremally Disconnected Spaces as Projectives
Canadian Journal of Mathematics, 1964The letter k denotes an infinite cardinal. A space is a compact Hausdorff space unless otherwise indicated. A space is called extremally disconnected (k-extremally disconnected) if it is the Stone space for a complete (k-complete) Boolean algebra. A map is a continuous function from one space into another.
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Properties of L-Extremally Disconnected Spaces
2010The concept of L-extremally disconnected spaces is introduced and investigated in this paper, which is the generalization of the concept of fuzzy extremally disconnected spaces due to Ghosh. In L-extremally disconnected spaces, it is proved that the concepts of semi-open, pre-open and alpha-open sets are uniform. We will also show that two theorems are
Ji-shu Cheng, Shui-li Chen
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A note on mappings of extremally disconnected spaces
Acta Mathematica Hungarica, 1985The author studies relationships between various generalizations of continuous mappings and open mappings. In particular semi-continuous and pre-open mappings are studied. A mapping f:X\(\to Y\) is called semi- continuous if \(f^{-1}(U)\subset cl Int f^{-1}(U)\) for every open set \(U\subset Y\) whereas it is pre-open if f(V)\(\subset Int cl f(V)\) for
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Extremally disconnected remainders of nowhere locally compact spaces
Topology and its Applications, 2023All topological spaces considered in this paper are Tychonoff. A space is \textit{extremally disconnected} if the closure of each open set is open. A \textit{compactification} of a space \(X\) is any compact space \(bX\) such that \(X\) is a dense subspace of \(bX\).
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Remainders of extremally disconnected spaces and related objects
Topology and its Applications, 2018Recall that a space \(X\) is an absolute of a space \(Y\) if there exists a perfect irreducible mapping \(f\) of \(X\) onto \(Y\). A space \(X\) is called \(k\)-trivial if every compact subspace of \(X\) is finite. \(X\) is a \(k\)-space if \(X\) is a quotient of a locally compact Hausdorff space.
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