Metric spaces | Metric geometry

Laakso space

In mathematical analysis and metric geometry, Laakso spaces are a class of metric spaces which are fractal, in the sense that they have non-integer Hausdorff dimension, but that admit a notion of differential calculus. They are constructed as quotient spaces of [0, 1] × K where K is a Cantor set. (Wikipedia).

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Related pages

Poincaré inequality | Metric space | Hausdorff dimension | Carnot group | Doubling space | Koch snowflake | Lipschitz continuity | Riemannian manifold | Fractal | Euclidean space | Cantor set | Mathematical analysis | Sub-Riemannian manifold