Results 1 to 10 of about 366,523 (181)

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   +2 more sources

Compact manifolds with computable boundaries [PDF]

open access: yesLogical 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

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 ...
Nyikos, Peter, Zdomskyy, Lyubomyr
core   +2 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   +3 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

Constructions and Properties of Quasi Sigma-Algebra in Topological Measure Space

open access: yesAxioms, 2022
The topological views of a measure space provide deep insights. In this paper, the sigma-set algebraic structure is extended in a Hausdorff topological space based on the locally compactable neighborhood systems without considering strictly (metrized ...
Susmit Bagchi
doaj   +1 more source

A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]

open access: yes, 2012
We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain   +2 more
core   +6 more sources

Conformal Transformation of Uniform Domains Under Weights That Depend on Distance to The Boundary

open access: yesAnalysis and Geometry in Metric Spaces, 2022
The sphericalization procedure converts a Euclidean space into a compact sphere. In this note we propose a variant of this procedure for locally compact, rectifiably path-connected, non-complete, unbounded metric spaces by using conformal deformations ...
Gibara Ryan, Shanmugalingam Nageswari
doaj   +1 more source

Canonical Structure of Locally Homogeneous Systems on Compact Closed 3-Manifolds of Types $E^3$, Nil and Sol [PDF]

open access: yes, 1997
In this paper we investigate the canonical structure of diffeomorphism invariant phase spaces for spatially locally homogeneous spacetimes with 3-dimensional compact closed spaces.
H. Kodama, Scott
core   +2 more sources

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