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Extra Countably Compact Spaces
Canadian Mathematical Bulletin, 1983AbstractA completely regular HausdorfT space is extra countably compact if every infinite subset of βX has an accumulation point in X. It is a theorem of Comfort and Waiveris that if X either an F-space or realcompact (topologically complete), then there is a set {Pξ:ξ<2C} of extra countably compact (countably compact) subspaces of αX such that Pξ ∩
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Rendiconti del Seminario Matematico e Fisico di Milano, 1986
A compact Hausdorff space is called Eberlein compact (EC) if it is homeomorphic to a weakly compact subset of a Banach space. A topological space (X,\(\tau)\) is called fragmented by a metric \(\rho\) defined on X if for each nonempty subset \(A\subset X\) and for each \(\epsilon >0\) there exists a \(\tau\)-open subset U of X such that \(A\cap U\neq ...
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A compact Hausdorff space is called Eberlein compact (EC) if it is homeomorphic to a weakly compact subset of a Banach space. A topological space (X,\(\tau)\) is called fragmented by a metric \(\rho\) defined on X if for each nonempty subset \(A\subset X\) and for each \(\epsilon >0\) there exists a \(\tau\)-open subset U of X such that \(A\cap U\neq ...
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Applied Categorical Structures, 2005
The author shows that the space \(X^{[0,1]}\) of continuous maps \([0,1]\to X\) with the compact-open topology is not locally compact for any space \(X\) having a nonconstant path of closed points. For a \(T_1\)-space, it follows that \(X^{[0,1]}\) is locally compact if and only if \(X\) is locally compact and totally path disconnected, where \(X\) is ...
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The author shows that the space \(X^{[0,1]}\) of continuous maps \([0,1]\to X\) with the compact-open topology is not locally compact for any space \(X\) having a nonconstant path of closed points. For a \(T_1\)-space, it follows that \(X^{[0,1]}\) is locally compact if and only if \(X\) is locally compact and totally path disconnected, where \(X\) is ...
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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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Perovskite Solar Cells for Space Applications: Progress and Challenges
Advanced Materials, 2021Yongguang Tu, Jiang Wu, Xiaoyu Yang
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