Results 1 to 10 of about 141 (41)
The p-Royden and p-Harmonic Boundaries for Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2015 Let p be a real number greater than one and let X be a locally compact, noncompact metric measure space that satisfies certain conditions. The p-Royden and p-harmonic boundaries of X are constructed by using the p-Royden algebra of functions on X and a ...
Lucia Marcello, Puls Michael J.
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so-metrizable spaces and images of metric spaces
Open Mathematics, 2021 so-metrizable spaces are a class of important generalized metric spaces between metric spaces and snsn-metrizable spaces where a space is called an so-metrizable space if it has a σ\sigma -locally finite so-network.
Yang Songlin, Ge Xun
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Localic completion of uniform spaces [PDF]
Logical Methods in Computer Science, 2017 We extend the notion of localic completion of generalised metric spaces by Steven Vickers to the setting of generalised uniform spaces. A generalised uniform space (gus) is a set X equipped with a family of generalised metrics on X, where a generalised ...
Tatsuji Kawai
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On the spectrum of the hierarchical Laplacian [PDF]
, 2013 Let $(X,d)$ be a locally compact separable ultrametric space. We assume that $(X,d)$ is proper, that is, any closed ball $B$ in $X$ is a compact set. Given a measure $m$ on $X$ and a function $C(B)$ defined on the set of balls (the choice function), we ...
Bendikov, Alexander, Krupski, Paweł
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Compactness in Metric Spaces [PDF]
, 2016 In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definitions of metric spaces, norm spaces, and the real line. In the first section, we formalized general topological properties of metric spaces.
Grzegorz Bancerek +4 more
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Random ultrametric trees and applications [PDF]
, 2017 Ultrametric trees are trees whose leaves lie at the same distance from the root. They are used to model the genealogy of a population of particles co-existing at the same point in time.
Lambert, Amaury
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Filtrations induced by continuous functions [PDF]
, 2012 In Persistent Homology and Topology, filtrations are usually given by introducing an ordered collection of sets or a continuous function from a topological space to $\R^n$. A natural question arises, whether these approaches are equivalent or not.
Di Fabio, Barbara, Frosini, Patrizio
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New Techniques for Computing Geometric Index
, 2017 We introduce \textcolor{red}{general} new techniques for computing the geometric index of a link $L$ in the interior of a solid torus $T$. These techniques simplify and unify previous ad hoc methods used to compute the geometric index in specific ...
Andrist, Kathryn B. +3 more
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A counterexample to gluing theorems for MCP metric measure spaces
, 2018 Perelman's doubling theorem asserts that the metric space obtained by gluing along their boundaries two copies of an Alexandrov space with curvature $\geq \kappa$ is an Alexandrov space with the same dimension and satisfying the same curvature lower ...
Rizzi, Luca
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Spaces with a Finite Family of Basic Functions
, 2008 A space X is finite dimensional, locally compact and separable metrizable if and only if X has a finite basic family: continuous functions Phi_1,...,Phi_n of X to the reals, R, such that for all continuous f from X to R there are g_1,..., g_n in C(R ...
Gartside, Paul, Ziqin, Feng
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