Intrinsic isometries in Euclidean space

29 Mar 2010  ·  Anton Petrunin ·

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.

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Metric Geometry Differential Geometry 30L05 (Primary) 53C (Secondary)