Results 291 to 300 of about 1,258,991 (327)
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2009
Abstract The subject matter of this chapter is probably the most important single topic in this book. There is more than one way of framing the definition of compactness. The definition in this chapter is appropriate for topological spaces. Another important definition, which works well in metric spaces, will be studied in Chapter 14 and
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Abstract The subject matter of this chapter is probably the most important single topic in this book. There is more than one way of framing the definition of compactness. The definition in this chapter is appropriate for topological spaces. Another important definition, which works well in metric spaces, will be studied in Chapter 14 and
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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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Heavy-element production in a compact object merger observed by JWST
Nature, 2023Andrew J Levan +2 more
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Rates of compact object coalescences
Living Reviews in Relativity, 2022Ilya Mandel, Floor S Broekgaarden
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Astrophysics with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Abbas Askar +2 more
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Compact energy storage enabled by graphenes: Challenges, strategies and progress
Materials Today, 2021Junwei Han, Huan Li, Quan-Hong Yang
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