Isometric Embeddability of Snowflakes

2015/09/21 by Erik Walsberg, Walsberg, Erik
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Mathematics and Applications #Computational Geometry and Mesh Generation

paper · pdf · doi:10.48550/arxiv.1509.06398

Abstract

We show that a snowflake of a metric space with positive Hausdorff dimension does not admit an isometric embedding into euclidean space.

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