This article is cited in 14 papers

Research Papers

On intrinsic isometries to Euclidean space

A. Petrunin


Abstract: Compact metric spaces that admit intrinsic isometries to the Euclidean $d$-space are considered. Roughly, the main result states that the class of such spaces coincides with the class of inverse limits of Euclidean $d$-polyhedra.

Keywords: ontrinsic isometry, path isometry, Riemannian metric, polyhedron, pro-Euclidean space.

Received: 10.02.2010

 English version: St. Petersburg Mathematical Journal, 2011, 22:5, 803–812

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