Results 21 to 30 of about 132,858 (314)

Compactness of Lobe spaces

Journal of Symbolic Logic, 1998
AbstractIn this paper we show that the compactness of a Loeb space depends on its cardinality, the nonstandard universe it belongs to and the underlying model of set theory we live in. In §1 we prove that Loeb spaces are compact under various assumptions, and in §2 we prove that Loeb spaces are not compact under various other assumptions.
Jin, Renling, Shelah, Saharon
openaire   +3 more sources

Extension of Compact Operators from DF-spaces to C(K) spaces

Applied General Topology, 2006
It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into the space C(K) of continuous functions on a compact Hausdorff space K can be extended to a compact operator of the total DF-space.
Fernando Garibay Bonales, Rigoberto Vera Mendoza   +1 more
doaj   +1 more source

On the Čech-Completeness of the Space of τ-Smooth Idempotent Probability Measures

Axioms
For the set I(X) of probability measures on a compact Hausdorff space X, we propose a new way to introduce the topology by using the open subsets of the space X.
Ljubiša D. R. Kočinac, Adilbek A. Zaitov, Muzaffar R. Eshimbetov   +2 more
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Compact manifolds with computable boundaries [PDF]

Logical Methods in Computer Science, 2013
We investigate conditions under which a co-computably enumerable closed set in a computable metric space is computable and prove that in each locally computable computable metric space each co-computably enumerable compact manifold with computable ...
Zvonko Iljazovic
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Compact and extremally disconnected spaces

International Journal of Mathematics and Mathematical Sciences, 2004
Viglino defined a Hausdorff topological space to be C-compact if each closed subset of the space is an H-set in the sense of Veličko. In this paper, we study the class of Hausdorff spaces characterized by the property that each closed subset is an S-set ...
Bhamini M. P. Nayar
doaj   +1 more source

(In)homogeneous invariant compact convex sets of probability measures

Pracì Mìžnarodnogo Geometričnogo Centru, 2020
It is proved that for any iterated function system of contractions on a complete metric space there exists an invariant compact convex sets of probability measures of compact support on this space.
Natalia Mazurenko, Mykhailo Zarichnyi
doaj   +1 more source

Projectively-compact spinor vertices and space-time spin-locality in higher-spin theory

Physics Letters B, 2022
The concepts of compact and projectively-compact spin-local spinor vertices are introduced. Vertices of this type are shown to be space-time spin-local, i.e., their restriction to any finite subset of fields is space-time local.
M.A. Vasiliev
doaj   +1 more source

On Some Results in Fuzzy Length Space

Al-Mustansiriyah Journal of Science, 2020
In this paper, depending on the notion of fuzzy length space we define the Cartesian product of two fuzzy length spaces. we proved that the Cartesian product of two fuzzy length spaces is a fuzzy length space.
Raghad I. Sabri, Mayada Nazar, Mohammed Ali   +2 more
doaj   +1 more source

COMPACT-F AND LINDEL o F- C SPACES

Journal of Kufa for Mathematics and Computer, 2010
In this paper, we introduce and study compact-F and Lindelof -C Spaces .Compact-F space is a topological space in which every compact subset is finite, Lindelof-C Space is a topological space in which every Lindelof subsets is countable several ...
Hadi J. Mustafa
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On generalization of homotopy axiom

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):271-275] it was proven that if G is compact topological group or field then in the homotopy axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment [0;1] can be replaced by any compact ...
Umed Karimov
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