Geodesic
Metric Space of All $N$-nets of a Geodesic Space
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 4, pp. 136-149

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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.
Mots-clés : $N$-net, segment
Keywords: geodesic space, intrinsic metric, Hausdorff metric, proper space. 
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     author = {E. N. Sosov},
     title = {Metric {Space} of {All} $N$-nets of {a~Geodesic} {Space}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {136--149},
     publisher = {mathdoc},
     volume = {151},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_4_a10/}
}
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E. N. Sosov. Metric Space of All $N$-nets of a Geodesic Space. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 4, pp. 136-149. http://geodesic.mathdoc.fr/item/UZKU_2009_151_4_a10/