Results 71 to 80 of about 216 (129)

The topological type of spaces consisting of certain metrics on locally compact metrizable spaces with the compact-open topology

, 2022
For a separable locally compact but not compact metrizable space $X$, let $αX = X \cup \{x_\infty\}$ be the one-point compactification with the point at infinity $x_\infty$. We denote by $EM(X)$ the space consisting of admissible metrics on $X$, which can be extended to an admissible metric on $αX$, endowed with the compact-open topology. Let $ \mathbf{
openaire   +2 more sources

Bounded tightness for locally convex spaces and spaces C(X)

, 2004
We show that metrizability and bounded tightness are actually equivalent for a large class G of locally convex spaces including (LF)-spaces, (DF)-spaces, the space of distributions D′(Ω), etc.
López Pellicer, M., Jerzy Kąkol, J.C. Ferrando, Ferrando, J.C., Kąkol, Jerzy, M. López Pellicer   +5 more
core   +1 more source

Berwald m-Kropina spaces of arbitrary signature:Metrizability and Ricci-flatness [PDF]

The (pseudo-)Riemann-metrizability and Ricci-flatness of Finsler spaces with m-Kropina metric F = α 1+mβ −m of Berwald type are investigated. We prove that the affine connection of F can locally be understood as the Levi-Civita connection of some (pseudo-
Heefer, Sjors
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Basic metric geometry of the bottleneck distance

Given a metric pair (X, A), i.e. a metric space X and a distinguished closed set A ⊂ X, one may construct in a functorial way a pointed pseudometric space D∞(X, A) of persistence diagrams equipped with the bottleneck distance.
Valiunas, Motiejus, Guijarro, Luis, Che, Mauricio, Galaz-García, Fernando, Membrillo Solis, Ingrid, Solis, Ingrid Membrillo   +5 more
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Fragmentability of groups and metric-valued function spaces

, 2012
Let (X,τ) be a topological space and let ρ be a metric defined on X. We shall say that (X,τ) is fragmented by ρ if whenever ε>0 and A is a nonempty subset of X there is a τ-open set U such that U∩A≠∅ and ρ−diam(U∩A)
Kenderov, PS, Moors, Warren B., Petar S. Kenderov, Warren B. Moors, Moors, Warren, Kenderov, Petar S.   +5 more
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Metrization of soft metric spaces and its application to fixed point theory

AIMS Mathematics
<abstract><p>Soft set theory has attracted many researchers from several different branches. Sound theoretical improvements are accompanied with successful applications to practical solutions of daily life problems. However, some of the attempts of generalizing crisp concepts into soft settings end up with completely equivalent structures ...
Gültekin Soylu, Müge Çerçi
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Generalized metric properties of spheres and renorming of Banach spaces

, 2019
We study the equivalence under renorming of several geometric and topological properties of the unit sphere of a Banach space with respect to weak topologies.
Orihuela J., Raja M., Ferrari S.
core   +1 more source

Fixed Point Dynamics in a New Type of Contraction in b-Metric Spaces [PDF]

Since the topological properties of a b-metric space (which generalizes the concept of a metric space) seem sometimes counterintuitive due to the fact that the “open” balls may not be open sets, we review some aspects of these spaces concerning ...
Mohapatra, Ram N., María A. Navascués, Ram N. Mohapatra, Navascués, María A.   +3 more
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Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem

, 2019
arXiv admin note: text overlap with arXiv:1904 ...
Bruno, Nazaret, Bachir, Mohammed, Nazaret, Bruno   +2 more
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Metrizability of spaces and weak base g-functions

, 2005
In this paper, we give some metrization theorems and characterize some generalized metric spaces in terms of (weak base) g-functions. And we give quick proofs of two theorems in [Topology Appl. 91 (1999) 71]
Zhi Min Gao, Gao, Zhi Min
core   +1 more source