Asymptotic behavior of metric spaces at infinity

TitleAsymptotic behavior of metric spaces at infinity
Publication TypeJournal Article
Year of Publication2017
AuthorsBilet, VV, Dovgoshey, OA
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2017.09.009
Issue9
SectionMathematics
Pagination9-14
Date Published9/2017
LanguageEnglish
Abstract

A new sequential approach to investigations of the structure of metric spaces at infinity is proposed. Criteria for the finiteness and boundedness of metric spaces at infinity are found.

Keywordsasymptotic boundedness of a metric space, asymptotic finiteness of a metric space, convergence of metric spaces, strong porosity at a point
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