Results 311 to 320 of about 6,651,322 (372)

Massive Atomic Diversity: a compact universal dataset for atomistic machine learning. [PDF]

open access: yesSci Data
Mazitov A   +6 more
europepmc   +1 more source

Balayage of measures on a locally compact space

Analysis Mathematica, 2020
We develop a theory of inner balayage of a positive Radon measure μ of finite energy on a locally compact space X to arbitrary A ⊂ X , thereby generalizing Cartan’s theory of Newtonian inner balayage on ℝ n , n ⩾ 3, to a suitable function kernel on X ...
N. Zorii
semanticscholar   +1 more source

A COMPACT SPACE IS NOT ALWAYS SI-COMPACT

Rocky Mountain Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Zhengmao, Wang, Kaiyun
openaire   +1 more source

On Finally Compact Spaces

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.
openaire   +1 more source

Homomorphism-Compact Spaces

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.
openaire   +1 more source

Compact measure spaces

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.
openaire   +2 more sources

Pointwise Compact Spaces

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 ...
openaire   +2 more sources

Locally compact, ω1-compact spaces

Annals of Pure and Applied Logic
An $ω_1$-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
openaire   +1 more source

Onm-compact spaces

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.
openaire   +1 more source

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