Results 151 to 160 of about 192 (173)

Fuzzy pairwise extremally disconnected spaces

Fuzzy Sets and Systems, 1998
The concept of fuzzy extremally disconnected spaces, due to \textit{B. Ghosh} [ibid. 46, No. 2, 245-250 (1992; Zbl 0765.54004)] is generalized. A fuzzy bitopological space \((X,\tau_1,\tau_2)\) is said to be: (a) \((\tau_i, \tau_j)\)-fuzzy extremally disconnected \(((\tau_i, \tau_j)\)-FED) if the \(\tau_j\)-closure of every \(\tau_i\)-fo (fuzzy-open ...
Bu Young Lee
exaly   +2 more sources

S4.3 and hereditarily extremally disconnected spaces

Georgian Mathematical Journal, 2015
AbstractThe modal logic S4.3 defines the class of hereditarily extremally disconnected spaces (HED-spaces).
Joel Lucero-Bryan, Jan Van Mill, Nick Bezhanishvili   +2 more
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Fuzzy extremally disconnected spaces

Fuzzy Sets and Systems, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Extremally Disconnected Spaces and Absolutes

1988
One 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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Extremally disconnected remainders of nowhere locally compact spaces

Topology and Its Applications, 2023
All 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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A note on mappings of extremally disconnected spaces

Acta Mathematica Hungarica, 1985
The 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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Remainders of extremally disconnected spaces and related objects

Topology and Its Applications, 2018
Recall 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
exaly   +2 more sources

CHARACTERIZATIONS OF L-EXTREMALLY DISCONNECTED SPACES

2007
Shui-Li Chen, Ji-Shu Cheng
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On Homogeneous Extremally Disconnected Spaces

Results in Mathematics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The k-Extremally Disconnected Spaces as Projectives

Canadian Journal of Mathematics, 1964
The 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.
openaire   +1 more source