Results 61 to 70 of about 1,462,947 (135)

Compact metrizable groups are isometry groups of compact metric spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 2007
This note is devoted to proving the following result: given a compact metrizable group G, there is a compact metric space K such that G is isomorphic (as a topological group) to the isometry group of K.
openaire   +3 more sources

Metrizability of spaces of homomorphisms between metric vector spaces

open access: yesJournal of Geometry and Physics, 2010
12 pages, no figure, submitted to Journal of Geometry and Physics.
openaire   +3 more sources

Geodesics in Asymmetric Metric Spaces [PDF]

open access: yes, 2014
In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of paths, introduced the class of run-continuous paths; and noted that there are different definitions of “length spaces” (also known as “path-metric spaces”
Mennucci Andrea C. G.   +1 more
core   +1 more source

The metrization of statistical metric spaces [PDF]

open access: yesPacific Journal of Mathematics, 1960
Schweizer, B., Sklar, A., Thorp, E.
openaire   +2 more sources

ℐ-sn-metrizable spaces and the images of semi-metric spaces

open access: yesOpen Mathematics
Abstract The theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and mappings in topological spaces. We define
Zhou, Xiangeng   +3 more
openaire   +2 more sources

Metrizability of Topological Vector Space Valued Cone Metric Spaces

open access: yes, 2010
This paper has been withdrawn by the authors. We withdraw our paper due to the acceptance in the journal "Applied Mathematics Letters" with a different title.
Cakalli, Huseyin   +2 more
openaire   +2 more sources

Basic metric geometry of the bottleneck distance [PDF]

open access: yes
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   +5 more
core   +1 more source

Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

open access: yes, 2011
In this paper we show that by renorming an ordered Banach space, every cone P can be converted to a normal cone with constant K = 1 and consequently due to this approach every cone metric space is really a metric one and every theorem in metric space valid for cone metric space automatically.
Asadi, Mehdi   +2 more
openaire   +2 more sources

A metric approach to limit operators

open access: yes, 2017
We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
core   +1 more source

Complete positivity and distance-avoiding sets. [PDF]

open access: yesMath Program, 2022
DeCorte E, Filho FMO, Vallentin F.
europepmc   +1 more source

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