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Locally Compact Spaces of Measures [PDF]
Norman Y. Luther
openalex +2 more sources
Pairwise Locally Compact Space and Pairwise Locally Lindelőf Space [PDF]
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.
Nabeela I. Abualkishik, Hasan Z. Hdeib
core +5 more sources
Data‐driven performance metrics for neural network learning
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri+2 more
wiley +1 more source
The algebraic face of the Alexandro one point compatication
We give a characterization, in algebraic terms, of the Alexandroff one point compactication of a locally compact Hausdorff space. In fact, we prove that if (X, T) is a locally compact Hausdorff space, then (X', T') point compactication if and only if T ...
Luz Marchan, Jorge Enrique Vielma
doaj +1 more source
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
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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
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Constructions and Properties of Quasi Sigma-Algebra in Topological Measure Space
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
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Conformal Transformation of Uniform Domains Under Weights That Depend on Distance to The Boundary
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
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A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
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
When is an ultracomplete space almost locally compact?
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