Results 61 to 70 of about 1,462,947 (135)
Compact metrizable groups are isometry groups of compact metric spaces [PDF]
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.
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Metrizability of spaces of homomorphisms between metric vector spaces
12 pages, no figure, submitted to Journal of Geometry and Physics.
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Geodesics in Asymmetric Metric Spaces [PDF]
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
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The metrization of statistical metric spaces [PDF]
Schweizer, B., Sklar, A., Thorp, E.
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ℐ-sn-metrizable spaces and the images of semi-metric spaces
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
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Metrizability of Topological Vector Space Valued Cone Metric Spaces
This paper has been withdrawn by the authors.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
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Basic metric geometry of the bottleneck distance [PDF]
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
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Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces
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
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A metric approach to limit operators
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
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Complete positivity and distance-avoiding sets. [PDF]
DeCorte E, Filho FMO, Vallentin F.
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