On highly regular embeddings

2013/05/31 by Pavle V. M. Blagojevic, Blagojevic, Pavle V. M., Wolfgang Lueck +3 · 1 citation
Mathematics · #53A07 #57R22 #57R42 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:53A07 #msc:57R22 #msc:57R42

paper · pdf · doi:10.48550/arxiv.1305.7483

20 pages

arxiv created 2014/09/03 · arxiv updated 2014/09/04

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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