most citedRandom groups have fixed points on CAT(0) cube complexes

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.MG2019

An intrinsic characterization of five points in a space

Tetsu Toyoda

Gromov (2001) and Sturm (2003) proved that any four points in a space satisfy a certain family of inequalities. We call those inequalities the -inequal…

math.MG2010★ 1 cited

Random groups have fixed points on CAT(0) cube complexes

Koji Fujiwara, Tetsu Toyoda

We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial.

math.MG2010

CAT(0) spaces on which a certain type of singularity is bounded

Tetsu Toyoda

In this paper, we present a geometric condition for a family of CAT(0) spaces, which ensures that the Izeki-Nayatani invariants of spaces in the family are uniformly bounded from a…