Results 181 to 190 of about 363 (203)
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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.
T Noiri, Noiri T
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Fuzzy pairwise extremally disconnected spaces
Fuzzy Sets and Systems, 1998The 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 ...
Jin Han Park, Bu Young Lee
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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.
Henry B. Cohen
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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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Properties of L-Extremally Disconnected Spaces
Advances in Intelligent and Soft Computing, 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 +2 more
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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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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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A new construction of extremally disconnected topologies
Topology and Its Applications, 1994 We present a general method of constructing extremally disconnected topologies, by which we get countably compact, homogeneous, extremally disconnected Tychonoff spaces of any cardinality κ with κω=κ, and two such spaces whose product is not countably ...
Kato, Akio, Akio Kato
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CHARACTERIZATIONS OF L-EXTREMALLY DISCONNECTED SPACES
2007Ji-Shu Cheng, Shui-Li Chen
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