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Isotropic fluid structures and role of non-metricity on their dynamics governed by an electric charge: A theoretical study. [PDF]
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Certain minimal or homologically volume minimizing submanifolds in compact symmetric spaces
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RAG-based architectures for drug side effect retrieval using compact LLMs. [PDF]
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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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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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Canadian Mathematical Bulletin, 1973
In 1962, J. M. G. Fell [5] indicated the important role played by certain topological spaces which, though locally compact in a specialized sense, do not, in general, satisfy even the weakest separation axiom. He called them "locally compact". These were called "punktal kompakt" by Flachsmeyer [6] and to avoid confusion, we shall call them pointwise ...
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In 1962, J. M. G. Fell [5] indicated the important role played by certain topological spaces which, though locally compact in a specialized sense, do not, in general, satisfy even the weakest separation axiom. He called them "locally compact". These were called "punktal kompakt" by Flachsmeyer [6] and to avoid confusion, we shall call them pointwise ...
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Rendiconti del Circolo Matematico di Palermo, 2005
A minimal structure \(m\) on a set \(X\) is a subset of the power set of \(X\) such that \(\varnothing,X\in m\). Compactness and continuity of topological spaces, as well as a number of other notions such as Hausdorff and regular, extend in the obvious way to minimal structures by replacing the topology by any minimal structure.
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A minimal structure \(m\) on a set \(X\) is a subset of the power set of \(X\) such that \(\varnothing,X\in m\). Compactness and continuity of topological spaces, as well as a number of other notions such as Hausdorff and regular, extend in the obvious way to minimal structures by replacing the topology by any minimal structure.
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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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