Anton Petrunin
Abstract
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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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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.
Key concepts: Seven-dimensional space, Euclidean distance matrix, Euclidean geometry, Mathematics, Eight-dimensional space, Euclidean space, Pure mathematics, Class (philosophy)