This article is cited in 6 papers

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

E. N. Sosov

Kazan State University

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.

UDC: 515.124.4

Received: 10.09.2009

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