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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…