Results 181 to 190 of about 310 (202)
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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 \(bX\).
A V Arhangel'Skii
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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.
A V Arhangel'Skii
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CHARACTERIZATIONS OF L-EXTREMALLY DISCONNECTED SPACES
2007Ji-Shu Cheng, Shui-Li Chen
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AP-space and an extremally disconnected space whose product is not anF-space
Archiv Der Mathematik, 1960Leonard Gillman, Gillman Leonard
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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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Fuzzy extremally disconnected spaces
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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 SPACE WITH A UNIQUE EXTREMALLY DISCONNECTED POINT
Russian Mathematical Surveys, 1978openaire +3 more sources