Results 11 to 20 of about 550,528 (312)

Causal variational principles in the σ-locally compact setting: Existence of minimizers [PDF]

open access: yesAdvances in Calculus of Variations, 2020
We prove the existence of minimizers of causal variational principles on second countable, locally compact Hausdorff spaces. Moreover, the corresponding Euler–Lagrange equations are derived. The method is to first prove the existence of minimizers of the
F. Finster, Christoph Langer
semanticscholar   +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 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

Deficient topological measures on locally compact spaces [PDF]

open access: yesMathematische Nachrichten, 2019
Topological measures and quasi‐linear functionals generalize measures and linear functionals. We define and study deficient topological measures on locally compact spaces.
S. Butler
semanticscholar   +1 more source

Quasi-linear functionals on locally compact spaces [PDF]

open access: yesConfluentes Mathematici, 2019
This paper has two goals: to present some new results that are necessary for further study and applications of quasi-linear functionals, and, by combining known and new results, to serve as a convenient single source for anyone interested in quasi-linear
S. Butler
semanticscholar   +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

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

When is an ultracomplete space almost locally compact?

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   +1 more source

Slice Theorem For Differential Spaces And Reduction By Stages

open access: yesDemonstratio Mathematica, 2014
We show that the space P/G of orbits of a proper action of a Lie group G on a locally compact differential space P is a locally compact differential space with quotient topology.
Lusala Tsasa, Śniatycki Jędrzej
doaj   +1 more source

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