English

Low stages of the Taylor tower for r-immersions

Algebraic Topology 2020-02-05 v2

Abstract

We study the beginning of the Taylor tower, supplied by manifold calculus of functors, for the space of r-immersions, which are immersions without r-fold self-intersections. We describe the first r layers of the tower and discuss the connectivities of the associated maps. We also prove several results about r-immersions that are of independent interest.

Keywords

Cite

@article{arxiv.1707.03048,
  title  = {Low stages of the Taylor tower for r-immersions},
  author = {Bridget Schreiner and Franjo Sarcevic and Ismar Volic},
  journal= {arXiv preprint arXiv:1707.03048},
  year   = {2020}
}

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final version