On intrinsic isometries to Euclidean space

Petrunin, A.

doi:10.1090/S1061-0022-2011-01169-0

On intrinsic isometries to Euclidean space
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by A. Petrunin
Translated by: the author

St. Petersburg Math. J. 22 (2011), 803-812

DOI: https://doi.org/10.1090/S1061-0022-2011-01169-0

Published electronically: June 28, 2011

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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.

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