Results 11 to 20 of about 1,258,991 (327)
Homomorphism-Compact Spaces [PDF]
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,
Abdel G. Babiker, Siegfried Graf
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Compact manifolds with computable boundaries [PDF]
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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On ∂-partial-locally compact space [PDF]
The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other.
Aliakbar Alijani
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Remarks on monotonically star compact spaces [PDF]
A space $ X $ is said to be monotonically star compact if one assigns to each open cover $ \mathcal{U} $ a subspace $ s(\mathcal{U}) \subseteq X $, called a kernel, such that $ s(\mathcal{U}) $ is a compact subset of $ X $ and $ {\rm St}(s(\mathcal{U ...
Sumit Singh
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Some classes of topological spaces related to zero-sets
An almost P-space is a topological space in which every zero-set is regular-closed. We introduce a large class of spaces, C-almost P-space (briefly CAP-space), consisting of those spaces in which the closure of the interior of every zero-set is a zero ...
F. Golrizkhatami, Ali Taherifar
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New Characterizations of C-compact Spaces [PDF]
Some new properties and characterizations of C-compact spaces are ...
Atallah Th. Al-Ani
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On elementary soft compact topological spaces
This paper is a work on elementary soft (𝜖-soft) compact spaces. We first define the cofinite 𝜖-soft compact space and prove that the image of an 𝜖-soft compact space under a soft continuousmapping is 𝜖-soft compact space.
Arzıgul İmankulova, İsmet Altıntaş
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Lindelof spaces, using multifunctions, are given.Our main results are .A space X is z-compact iff for every space Y and z-closed graph multifunction on X into Y the image of every z-closed set in X, is closed in Y. A space X is z-Lindelof iff for every P-
Atallah Th. Al-Ani
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Locally compact, b-compact spaces
In this paper, a new class of generalized soft open sets in sof t generalized topological spaces as a generalization of compact spaces, called soft b-compact spaces, is introduced and studied. A soft generalized topological space is soft b-compact if every soft b-open soft cover of FE contains a finite soft subcover.
OZKAN, Alkan +2 more
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Compact composition operators on the Dirichlet space and capacity of sets of contact points [PDF]
In this paper, we prove that for every compact set of the unit disk of logarithmic capacity 0, there exists a Schur function both in the disk algebra and in the Dirichlet space such that the associated composition operator is in all Schatten classes (of ...
Lefèvre, Pascal +3 more
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