Results 61 to 70 of about 98 (95)
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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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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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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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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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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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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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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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Satellite Communications in the New Space Era: A Survey and Future Challenges
IEEE Communications Surveys and Tutorials, 2021Oltjon Kodheli +2 more
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