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A COMPACT SPACE IS NOT ALWAYS SI-COMPACT
Rocky Mountain Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Zhengmao, Wang, Kaiyun
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Acta Mathematica Hungarica, 2001
For an infinite cardinal \(\kappa\), \(\kappa^+\) denotes the smallest cardinal greater than \(\kappa\). A space \(X\) is called finally \(\kappa^+\)-compact if every open cover of \(X\) has a subcover with cardinality \(\leq\kappa\). The authors define weakly \(\kappa\overline{\theta}\)-refinable spaces and study conditions under which a countably ...
Ergun, N., Noiri, T.
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For an infinite cardinal \(\kappa\), \(\kappa^+\) denotes the smallest cardinal greater than \(\kappa\). A space \(X\) is called finally \(\kappa^+\)-compact if every open cover of \(X\) has a subcover with cardinality \(\leq\kappa\). The authors define weakly \(\kappa\overline{\theta}\)-refinable spaces and study conditions under which a countably ...
Ergun, N., Noiri, T.
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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.
Peter Nyikos, Lyubomyr Zdomskyy
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Canadian Journal of Mathematics, 1983
In 1979 Edgar asked for a characterization of those completely regular Hausdorff topological spaces X which have the property that any Boolean σ-homomorphism from the Baire σ-field of X into the measure algebra of an arbitrary complete probability space can be realized by a measurable point-mapping. Those spaces X will be called homomorphism-compact or,
Babiker, A. G. A. G., Graf, S.
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In 1979 Edgar asked for a characterization of those completely regular Hausdorff topological spaces X which have the property that any Boolean σ-homomorphism from the Baire σ-field of X into the measure algebra of an arbitrary complete probability space can be realized by a measurable point-mapping. Those spaces X will be called homomorphism-compact or,
Babiker, A. G. A. G., Graf, S.
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Mathematika, 1999
Summary: A (countably) compact measure is one which is inner regular with respect to a (countably) compact class of sets. This note characterizes compact probability measures in terms of the representation of Boolean homomorphisms of their measure algebras, and shows that the same ideas can be used to give a direct proof of J.
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Summary: A (countably) compact measure is one which is inner regular with respect to a (countably) compact class of sets. This note characterizes compact probability measures in terms of the representation of Boolean homomorphisms of their measure algebras, and shows that the same ideas can be used to give a direct proof of J.
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Mathematical Structures in Computer Science, 2010
The purpose of this paper is to develop the basic theory of stably compact spaces (viz. compact, locally compact, coherent sober spaces) and introduce in an accessible manner and with a minimum of prerequisites some significant new lines of investigation and application arising from recent research, which has arisen primarily in the theoretical ...
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The purpose of this paper is to develop the basic theory of stably compact spaces (viz. compact, locally compact, coherent sober spaces) and introduce in an accessible manner and with a minimum of prerequisites some significant new lines of investigation and application arising from recent research, which has arisen primarily in the theoretical ...
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