Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki
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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 4, Pages 136–149 (Mi uzku771)  
This article is cited in 6 scientific papers (total in 6 papers)

Metric Space of All $N$-nets of a Geodesic Space

E. N. Sosov

Kazan State University
Full-text PDF (246 kB) Citations (6)
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Abstract: In this paper we endow the sets of all $N$-nets and of all $N$-nets with repetitions of a geodesic space with metrics. We find the conditions under which these spaces are spaces with intrinsic metrics, proper and geodesic spaces.
Keywords: $N$-net, segment, geodesic space, intrinsic metric, Hausdorff metric, proper space.
Received: 10.09.2009
Bibliographic databases:
Document Type: Article
UDC: 515.124.4
Language: Russian
Citation: E. N. Sosov, “Metric Space of All $N$-nets of a Geodesic Space”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 4, Kazan University, Kazan, 2009, 136–149
Citation in format AMSBIB
\Bibitem{Sos09}
\by E.~N.~Sosov
\paper Metric Space of All $N$-nets of a~Geodesic Space
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 4
\pages 136--149
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku771}
\elib{https://elibrary.ru/item.asp?id=12925637}
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  • https://www.mathnet.ru/eng/uzku/v151/i4/p136
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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