On highly regular embeddings

arxiv: 1305.7483 · v2 · pith:X3T4WA36new · submitted 2013-05-31 · 🧮 math.AT

On highly regular embeddings

Pavle V. M. Blagojevic , Wolfgang Lueck , Guenter M. Ziegler This is my paper

classification 🧮 math.AT

keywords embeddingsboundschisholmdimensionsextendsghomi-tabachnikovgivegiven

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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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On highly regular embeddings

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