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A characterization of metric subspaces of full Assouad dimension by Ishiki, Yoshito is a scholarly article available to read on EtoBox.

What is A characterization of metric subspaces of full Assouad dimension about?

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 appearing in fractal geometry. For doubling tiling spaces, we characterize metric subspaces whose Assouad dimension coincides with that of the whole space.

Author

Ishiki, Yoshito

Published

2019

Language

EN