English

On highly regular embeddings

Algebraic Topology 2014-09-04 v2

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).

Keywords

Cite

@article{arxiv.1305.7483,
  title  = {On highly regular embeddings},
  author = {Pavle V. M. Blagojevic and Wolfgang Lueck and Guenter M. Ziegler},
  journal= {arXiv preprint arXiv:1305.7483},
  year   = {2014}
}

Comments

20 pages

R2 v1 2026-06-22T00:26:02.356Z