4 papers
Applications of the finite specializations of the -deformed modular group
Takuma Byakuno, Xin Ren, Kohji Yanagawa
Recently, Morier-Genoud and Ovsienko introduced the -deformed modular group. For the construction, they first gave a group $G_q \subset \operatorname{GL}(2, \mathbb{Z}[q^{\pm}])…
A sequence of compact metric spaces and an isometric embedding into the Gromov-Hausdorff space
Takuma Byakuno
For a convergent series with positive terms, we prove that the product space of bounded subspaces of the Gromov-Hausdorff space can be isometrically embedded into the…
An Isometric Embedding of the product space of two bounded subspaces of the Gromov-Hausdorff Space into the Gromov-Hausdorff Space
Takuma Byakuno
In this paper, we prove the product space of two bounded subspaces of the Gromov-Hausdorff space can be isometrically embedded into the Gromov-Hausdorff space.
An Isometric Embedding of a Bounded Set in a Euclidean Space into the Gromov-Hausdorff Space
Takuma Byakuno
We construct an isometric embedding of a bounded set in a Euclidean space into the Gromov-Hausdorff space. In particular, we can embed a bounded and connected Riemannian manifold i…