Showing math.MGShow all
2 papers · 1 filter
math.MG2024
Boundary of free products of metric spaces
Tomohiro Fukaya, Takumi Matsuka
In this paper, we compute (co)homologies of ideal boundaries of free products of geodesic coarsely convex spaces in terms of those of each of the components. The (co)homology theor…
math.MG2023
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,…