Results 191 to 200 of about 1,218,583 (226)

Low-dimensional compact states in 3D moiré lattices. [PDF]

open access: yesNat Commun
Gao Z   +5 more
europepmc   +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 ...
T. Noiri, N. Ergun
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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,
A. G. A. G. Babiker, Siegfried Graf
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C-compact spaces

Mathematical Notes of the Academy of Sciences of the USSR, 1972
We consider the properties of C-compact spaces. A negative answer is given to the questions posed by Viglino (RZhMat., 1970, 10 A 302): 1) Is every C-compact space a space of the second category? 2) Is the product of C compacta a C compactum? 3) Is a space, every continuous mapping of which is closed, a C compactum?
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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.
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A-compact spaces

1989
Summary: For each class \(\mathbf A\) of topological spaces we have a closure operation \([ ] : P(X) \to P(X)\), called \(\mathbf A\)-closure, where \(X\) is a topological space and \(P(X)\) is the power set of \(X\). In this paper we study the \(\mathbf A\)-compact spaces, i.e.
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COMPACT SPACES

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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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 ...
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