4 citations · 4 across the 1 of their papers we have counts for
4 papers
On dense subsets in spaces of metrics
Yoshito Ishiki
In spaces of metrics, we investigate topological distributions of the doubling property, the uniform disconnectedness, and the uniform perfectness, which are the quasi-symmetricall…
An embedding, an extension, and an interpolation of ultrametrics
Yoshito Ishiki
The notion of the ultrametrics can be considered as a zero-dimensional analogue of ordinary metrics, and it is expected to prove ultrametric versions of theorems on metric spaces.…
A characterization of metric subspaces of full Assouad dimension
Yoshito Ishiki
We introduce the notion of tiling spaces for metric spaces. The class of tiling spaces contains the Euclidean spaces, the middle-third Cantor set, and various self-similar spaces a…
On the Assouad dimension and convergence of metric spaces
Yoshito Ishiki
We introduce the notion of pseudo-cones of metric spaces as a generalization of both of the tangent cones and the asymptotic cones. We prove that the Assouad dimension of a metric…