English

Topology of spaces of S-immersions

Geometric Topology 2011-08-08 v1

Abstract

We use the wrinkling theorem proven in Y. Eliashberg and N. Mishachev, "Wrinkling of smooth mappings and its applications - I", Invent. Math., 130(1997), 345-369, to fully describe the homotopy type of the space of S-immersions, i.e. equidimensional folded maps with prescribed folds.

Keywords

Cite

@article{arxiv.1108.1270,
  title  = {Topology of spaces of S-immersions},
  author = {Yakov M. Eliashberg and Nikolai M. Mishachev},
  journal= {arXiv preprint arXiv:1108.1270},
  year   = {2011}
}

Comments

25 pages, 10 figures