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arXiv · 1305.7483

On highly regular embeddings

Pavle V. M. Blagojevic·Wolfgang Lueck·Guenter M. Ziegler
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Abstract

Given parameters k, l, and d, we give new lower bounds on the dimensions N such that there are maps from R^d to R^N that are k-regular, l-skew embeddings, or k-regular-l-skew embeddings. This extends and sharpens results due to Chisholm (1979) and Ghomi-Tabachnikov (2008).

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Pavle V. M. Blagojevic, Wolfgang Lueck, Guenter M. Ziegler. 2014-09-03. On highly regular embeddings. https://arxiv.org/abs/1305.7483

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