4 citations · 19 across the 25 of their papers we have counts for
25 papers
On rigidity of Coxeter systems up to finite twists and separations of Coxeter generating sets
Tetsuya Hosaka
In this paper, we study the twist-conjecture for Coxeter systems and rigidity of Coxeter systems up to finite twists. For Coxeter systems and , under the untangle-co…
The Reconstruction Conjecture for finite simple graphs and associated directed graphs
Tetsuya Hosaka
In this paper, we study the Reconstruction Conjecture for finite simple graphs. Let and be finite simple graphs with at least three vertices such that there exists a bijec…
On equivariant homeomorphisms of boundaries of CAT(0) groups and Coxeter groups
Tetsuya Hosaka
In this paper, we investigate an equivariant homeomorphism of the boundaries and of two proper CAT(0) spaces and on which a CAT(0) group acts…
Reconstructible graphs, simplicial flag complexes of homology manifolds and associated right-angled Coxeter groups
Tetsuya Hosaka
In this paper, we investigate a relation between finite graphs, simplicial flag complexes and right-angled Coxeter groups, and we provide a class of reconstructible finite graphs.…
On equivariant homeomorphisms of boundaries of CAT(0) groups
Tetsuya Hosaka
In this paper, we investigate an equivariant homeomorphism of the boundaries and of two proper CAT(0) spaces and on which a CAT(0) group acts…
On boundaries of Coxeter groups and topological fractal structures
Tetsuya Hosaka
In this paper, based on research on rank-one isometries by W.Ballmann and M.Brin and recent research on rank-one isometries of Coxeter groups by P.Caprace and K.Fujiwara, we study…