Results 1 to 10 of about 1,589,623 (352)

On T-locally compact spaces [PDF]

Mathematics and Computational Sciences, 2022
The aim of this paper is to introduce and give preliminary investigation of T-locally compact spaces. Locally compact and T-locally compact are independent of each other. Every Hausdorff, locally compact space is T-locally compact. T-locally compact is a topological property. T-locally compact is not preserved by the product topology.
Aliakbar Alijani
arxiv   +3 more sources

A Compact Homogeneous S-space [PDF]

Topology and its Applications, 2003
Under the continuum hypothesis, there is a compact homogeneous strong S-space.Comment: 6 ...
de la Vega, Ramiro, Kunen, Kenneth
core   +4 more sources

z-Compact spaces [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2009
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
doaj   +2 more sources

Quantum Locally Compact Metric Spaces [PDF]

Journal of Functional Analysis 264 (2013) 1, pp. 362--402, 2012
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 ...
Akemann, Alfsen, Billigsley, Cagnache, Connes, Connes, Connes, Dobrushin, Doplicher, Dudley, Folland, Frédéric Latrémolière, Gayral, Gracia Bondia, Gracia Bondia, Gromov, Kadison, Kantorovich, Kantorovich, Kuperberg, Latrémolière, Latrémolière, Ozawa, Pedersen, Prohorov, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Stone, TʼHooft, Wasserstein   +35 more
arxiv   +5 more sources

Compact manifolds with computable boundaries [PDF]

Logical Methods in Computer Science, 2013
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
doaj   +3 more sources

The entropy of co-compact open covers [PDF]

Entropy, 2012
Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space(compactness and metrizability not necessarily required). This is achieved through the consideration of co-compact covers of the space.
Steven Bourquin, Tonghui Wang, Guo Wei, Yangeng Wang, Zheng Wei   +4 more
arxiv   +3 more sources

Locally compact, b-compact spaces

Indagationes Mathematicae (Proceedings), 1969
R. B. Kirk
openalex   +3 more sources

Remarks on monotonically star compact spaces [PDF]

Mathematica Bohemica, 2022
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
doaj   +1 more source

Some classes of topological spaces related to zero-sets

Applied General Topology, 2022
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
doaj   +1 more source

New Characterizations of C-compact Spaces [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2009
Some new properties and characterizations of C-compact spaces are ...
Atallah Th. Al-Ani
doaj   +1 more source