Results 1 to 10 of about 21,963 (302)
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
doaj +4 more sources
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
doaj +8 more sources
When is an ultracomplete space almost locally compact? [PDF]
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]
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
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
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
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
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]
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
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

