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On ∂-partial-locally compact space [PDF]

open access: yesMathematics and Computational Sciences, 2023
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
doaj   +4 more sources

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   +8 more sources

When is an ultracomplete space almost locally compact? [PDF]

open access: yesApplied General Topology, 2006
We study spaces X which have a countable outer base in βX; they are called ultracomplete in the most recent terminology. Ultracompleteness implies Cech-completeness and is implied by almost local compactness (≡having all points of non-local compactness ...
Daniel Jardón Arcos   +1 more
doaj   +2 more sources

Compact sheaves on a locally compact space [PDF]

open access: yesProceedings of the American Mathematical Society, 2023
Let X X be a hypercomplete locally compact Hausdorff space and let
Harr, Oscar Bendix
core   +5 more sources

On some compact almost Kähler locally symmetric space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric space M is a weakly ,∗-Einstein vnanifold with non-negative ,∗-scalar curvature, then M is a Kähler manifold.
Takashi Oguro
doaj   +2 more sources

Locally compact, $\omega_1$-compact spaces

open access: yes, 2017
An $\omega_1$-compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, $\omega_1$-compact space is $\sigma$-countably compact, i.e., the union of countably many countably compact spaces. These conditions involve very elementary properties.
Nyikos, Peter, Zdomskyy, Lyubomyr
openaire   +3 more sources

Quantum locally compact metric spaces

open access: yesJournal of Functional Analysis, 2013
We introduce the notion of a quantum locally compact metric space, which is the noncommutative analogue of a locally compact metric space, and generalize to the nonunital setting the notion of quantum metric spaces introduced by Rieffel. We then provide several examples of such structures, including the Moyal plane, as well as compact quantum metric ...
Frédéric Latrémolière   +1 more
openaire   +4 more sources

Pairwise Locally Compact Space And Pairwise Locally Lindelőf Space

open access: yes, 2021
In this paper we define pairwise locally compact space and pairwise locally lindelöf space and study their properties and their relations with other bitopological spaces.
et. al., Nabeela I. Abualkishik,
core   +2 more sources

Ways of obtaining topological measures on locally compact spaces [PDF]

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2018
Topological measures and quasi-linear functionals generalize measures and li\-near functionals. Deficient topological measures, in turn, generalize topological measures.
S. V. Butler
doaj   +1 more source

On generalization of homotopy axiom

open access: yesPracì 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
doaj   +1 more source

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