Intrinsic isometries in Euclidean space
Metric Geometry
2019-01-08 v3 Differential Geometry
Abstract
I consider compact metric spaces which admit intrinsic isometries to Euclidean d-space. The main result roughly states that the class of these spaces coincides with class of inverse limits of Euclidean d-polyhedra.
Cite
@article{arxiv.1003.5621,
title = {Intrinsic isometries in Euclidean space},
author = {Anton Petrunin},
journal= {arXiv preprint arXiv:1003.5621},
year = {2019}
}
Comments
11 pages, 1 figure, English/Russian (fixed 4.2)