English

Waist of the sphere for maps to manifolds

Metric Geometry 2013-08-23 v1 Algebraic Topology

Abstract

We generalize the sphere waist theorem of Gromov and the Borsuk--Ulam type measure partition lemma of Gromov--Memarian for maps to manifolds.

Keywords

Cite

@article{arxiv.1102.0647,
  title  = {Waist of the sphere for maps to manifolds},
  author = {R. N. Karasev and A. Yu. Volovikov},
  journal= {arXiv preprint arXiv:1102.0647},
  year   = {2013}
}