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arxiv: 1108.0276 · v1 · pith:O5GTDRP2new · submitted 2011-08-01 · 🧮 math.MG · math.GT

Isometric embeddings of pretangent spaces in E^n

classification 🧮 math.MG math.GT
keywords spacesembeddingsisometricanalogsblumenthalclassicalconditionseuclidean
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We prove some infinitesimal analogs of classical results of Menger, Schoenberg and Blumenthal giving the existence conditions for isometric embeddings of metric spaces in the finite-dimensional Euclidean spaces.

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