Results 11 to 20 of about 350,893 (327)

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

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

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   +5 more sources

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

Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces [PDF]

open access: yesJournal of Function Spaces, 2014
We continue our research on Sobolev spaces on locally compact abelian (LCA) groups motivated by our work on equations with infinitely many derivatives of interest for string theory and cosmology. In this paper, we focus on compact embedding results and we prove an analog for LCA groups of the classical Rellich lemma and of the Rellich-Kondrachov ...
Enrique G. Reyes   +2 more
openaire   +2 more sources

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

On pseudo-k-spaces

open access: yesApplied General Topology, 2008
In this note a new class of topological spaces generalizing k-spaces, the pseudo-k-spaces, is introduced and investigated. Particular attention is given to the study of products of such spaces, in analogy to what is already known about k-spaces and quasi-
Anna Maria Miranda
doaj   +1 more source

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