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P-Adic Numbers Ultrametric Analysis and Applications
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Preprint . 2009
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P-Adic Numbers Ultrametric Analysis and Applications
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https://dx.doi.org/10.48550/ar...
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Ultrametricity and metric betweenness in tangent spaces to metric spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 14 May 2010Embargo end date: 01 Jan 2009 English Publisher:Pleiades Publishing LtdJournal:P-Adic Numbers, Ultrametric Analysis, and Applications, volume 2, pages 100-113 (issn: 2070-0466, eissn: 2070-0474, Copyright policy )
Authors: Dmytro Dordovskyi; Oleksiy Dovgoshey;

doi: 10.1134/s2070046610020020 , 10.48550/arxiv.0904.4356

arXiv: http://arxiv.org/abs/0904.4356

Ultrametricity and metric betweenness in tangent spaces to metric spaces

Abstract

The paper deals with pretangent spaces to general metric spaces. An ltrametricity criterion for pretangent spaces is found and it is closely related to the metric betweenness in the pretangent spaces.

21 pages

Related Organizations
Keywords

Mathematics - Metric Geometry, FOS: Mathematics, Metric Geometry (math.MG), 54E35

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    		 19
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    		 Top 10%
    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Top 10%
Top 10%
Top 10%
Green
bronze