Results 31 to 40 of about 569,305 (336)

H-Compact Space

open access: yesJournal of Kufa for Mathematics and Computer, 2011
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
doaj   +1 more source

On open well-filtered spaces [PDF]

open access: yesLogical Methods in Computer Science, 2020
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
doaj   +1 more source

Locally compact space and continuity

open access: yesBibechana, 2010
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
doaj   +3 more sources

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

open access: yesAxioms
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
doaj   +1 more source

On Radon Barycenters of Measures on Spaces of Measures

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
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
doaj   +1 more source

On Compact ∗ Spaces and Compactifications [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
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 ...
openaire   +2 more sources

(In)homogeneous invariant compact convex sets of probability measures

open access: yesPracì 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

Compact and extremally disconnected spaces

open access: yesInternational 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

On Some Results in Fuzzy Length Space

open access: yesAl-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   +2 more
doaj   +1 more source

On compact fibered spaces

open access: yesTopology and its Applications, 2002
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
openaire   +2 more sources

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