Proving homological stability for homeomorphisms of manifolds

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.

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

References in corpus (1)

• Homological stability for moduli spaces of high dimensional manifolds. I

Cited by in corpus (2)

• A local to global argument on low dimensional manifolds
• On the finiteness of the classifying space of diffeomorphisms of reducible three manifolds