English

Proving homological stability for homeomorphisms of manifolds

Algebraic Topology 2016-08-23 v3

Abstract

Following the argument for diffeomorphisms by Galatius and Randal-Williams, we prove that homeomorphisms of 1-connected manifolds of even dimension at least 6 exhibit homological stability. We deduce similar results for PL homeomorphisms and homeomorphisms as a discrete group.

Keywords

Cite

@article{arxiv.1510.02456,
  title  = {Proving homological stability for homeomorphisms of manifolds},
  author = {Alexander Kupers},
  journal= {arXiv preprint arXiv:1510.02456},
  year   = {2016}
}

Comments

Minor revision, fixing a transversality issue in Proposition 2.37. 39 pages, 4 figures