4 papers
Morse and stable subgroups via the coset intersection complex
Tomohiro Fukaya, Haoyang He, Eduardo Martínez-Pedroza +1
In this note, we study the equivalence of Morse and stable subgroups in the framework of the coset intersection complex. Under certain conditions on a coset intersection complex of…
A Combination Theorem for Geodesic Coarsely Convex Group Pairs
Tomohiro Fukaya, Eduardo Martínez-Pedroza, Takumi Matsuka
The first author and Oguni introduced a class of groups of non-positive curvature, called coarsely convex group. The recent success of the theory of groups which are hyperbolic rel…
Blown-up corona of relatively hyperbolic groups
Tomohiro Fukaya
We show that under appropriate assumptions, a blown-up corona of a relatively hyperbolic group is equivariant and the compactification of the universal space for proper action by t…
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…