Results 31 to 40 of about 569,305 (336)
Using the concept of H-open set, we introduce the concept of H-compact space. Several properties of H-compact spaces are proved , among these are: • H-closed subset of H-compact is     H-compact.
Hussein Kadhum Asker
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On open well-filtered spaces [PDF]
We introduce and study a new class of $T_0$ spaces, called open well-filtered spaces. The main results we proved include (1) every well-filtered space is an open well-filtered space; (2) every core-compact open well-filtered space is sober.
Chong Shen+3 more
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Locally compact space and continuity
Topological spaces for being T0, T1, T2 and regular space have been discussed. The conditions for a topological space to be locally compact have also been studied. We have found that a continuous function preserves locally compactness.
Shitanshu Shekhar Choudhary+1 more
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On the Čech-Completeness of the Space of τ-Smooth Idempotent Probability Measures
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+2 more
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On Radon Barycenters of Measures on Spaces of Measures
We study metrizability of compact sets in spaces of Radon measures with the weak topology. It is shown that if all compacta in a given completely regular topological space are metrizable, then every uniformly tight compact set in the space of Radon ...
V.I. Bogachev, S.N. Popova
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On Compact ∗ Spaces and Compactifications [PDF]
The space β X \beta X of Z Z -ultrafilters on X X with the standard filter space topology is shown to be compact*. Without considering the reflection associated with compact* spaces, we also prove that products of compact* spaces are compact*, in response to a request for a direct ...
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(In)homogeneous invariant compact convex sets of probability measures
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
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Compact and extremally disconnected spaces
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
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On Some Results in Fuzzy Length Space
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+2 more
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AbstractA space X is called fibered if there exists a countable family γ of sets closed in X such that γ(x)=⋂{F:x∈F∈γ} is metrizable for each x∈X. In the paper we answer two problems of Tkachuk raised in [Topology Proc. 19 (1994) 321–334] about compact fibered spaces.
Zoltán Szentmiklóssy, János Gerlits
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