English

On the cohomology ring of chains in $R^d$

Algebraic Topology 2010-03-18 v2 Differential Geometry

Abstract

We prove that the spaces of chains in \bbrd\bbr^d for d3d\geq 3 are determined by their (mod2{\rm mod}2)-cohomology rings.

Keywords

Cite

@article{arxiv.0903.0472,
  title  = {On the cohomology ring of chains in $R^d$},
  author = {Michael Farber and Jean-Claude Hausmann and Dirk Schuetz},
  journal= {arXiv preprint arXiv:0903.0472},
  year   = {2010}
}

Comments

17 pages, 1 figures. This new version contains a more developed introduction, 2 more figures and more references.