3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.GT2016
Large scale geometry of homeomorphism groups
Kathryn Mann, Christian Rosendal
Let M be a compact manifold. We show the identity component of the group of self-homeomorphisms of M has a well-defined quasi-isometry type, and study its lar…
math.GR2016
PL(M) admits no Polish group topology
Kathryn Mann
We show that the group of piecewise linear homeomorphisms of any compact PL manifold does not admit a Polish group topology. This uses a) new results on the relationship between to…
math.GT2013★ 3 cited
Diffeomorphism groups of balls and spheres
Kathryn Mann
In this paper we discuss the relationship between groups of diffeomorphisms of spheres and balls. We survey results of a topological nature and then address the relationship as abs…