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arXiv · 1709.03254

The Hausdorff- and Nagata-dimension of Möbius spaces

Merlin Incerti-Medici
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Abstract

We study cross ratios from an axiomatic viewpoint and show that a space equipped with a cross ratios carries several notions of dimension. Specifically, we introduce notions of Hausdorff- and Nagata-dimension and prove that they are invariants of Möbius spaces. This provides us with more direct methods of obtaining dimensions for boundaries of Gromov-hyperbolic spaces.

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Merlin Incerti-Medici. 2020-05-25. The Hausdorff- and Nagata-dimension of Möbius spaces. https://arxiv.org/abs/1709.03254

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