23 citations · 64 across the 14 of their papers we have counts for
5 papers · 1 filter
Free products of coarsely convex spaces and the coarse Baum-Connes conjecture
Tomohiro Fukaya, Takumi Matsuka
The first author and Oguni introduced a wide class of metric spaces, called coarsely convex spaces. It includes Gromov hyperbolic metric spaces, CAT(0) spaces, systolic complexes,…
A topological decomposition of Busemann space
Tomohiro Fukaya
We show that a Busemann space which is covered by parallel bi-infinite geodesics is homeomorphic to a product of another Busemann space and the real line. We also show that…
Visual maps between coarsely convex spaces
Yuuhei Ezawa, Tomohiro Fukaya
The class of coarsely convex spaces is a coarse geometric analogue of the class of nonpositively curved Riemannian manifolds. It includes Gromov hyperbolic spaces, CAT(0) spaces, p…
Coarse compactifications and controlled products
Tomohiro Fukaya, Shin-ichi Oguni, Takamitsu Yamauchi
We introduce the notion of controlled products on metric spaces as a generalization of Gromov products, and construct boundaries by using controlled products, which we call the Gro…
A coarse Cartan-Hadamard theorem with application to the coarse Baum-Connes conjecture
Tomohiro Fukaya, Shin-ichi Oguni
We establish a coarse version of the Cartan-Hadamard theorem, which states that proper coarsely convex spaces are coarsely homotopy equivalent to the open cones of their ideal boun…