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1968
Publisher Summary This chapter focuses on compact spaces. A topological space which is the union of two compact sets is compact. The Cartesian product of compact spaces is a compact space. Every countable open cover contains a finite subcover. Obviously, a compact space is countably compact, while the converse is not true.
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Publisher Summary This chapter focuses on compact spaces. A topological space which is the union of two compact sets is compact. The Cartesian product of compact spaces is a compact space. Every countable open cover contains a finite subcover. Obviously, a compact space is countably compact, while the converse is not true.
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On the Product of a Compact Space with an Absolutely Countably Compact Space
Annals of the New York Academy of Sciences, 1996ABSTRACTWe show that the product of a compact sequential T2‐space, with an absolutely countably compact T3‐space, is absolutely countably compact, and give several related results. For example, we show that every countably compact GO‐space is absolutely countably compact, and that the product of a compact T2‐space of countable tightness with an ...
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Locally compact, ω1-compact spaces
Annals of Pure and Applied LogicAn $ω_1$-compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, $ω_1$-compact space is $σ$-countably compact, i.e., the union of countably many countably compact spaces. These conditions involve very elementary properties.
Nyikos, Peter, Zdomskyy, Lyubomyr
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Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Living Reviews in Relativity, 2014Luc Blanchet, Fuzhong Nian
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Equations of state for supernovae and compact stars
Reviews of Modern Physics, 2017Stefan Typel
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Testing the nature of dark compact objects: a status report
Living Reviews in Relativity, 2019Paolo Pani, Vitor Cardoso
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