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math.MG2010★ 3 cited
On a Hölder covariant version of mean dimension
Antoine Gournay
Let G be a infinite countable group which acts naturally on l^p(G). We introduce a modification of mean dimension which is an obstruction for l^p(G) and l^q(G) to be Hölder conjuga…
math.MG2007★ 4 cited
Width of l^p balls
Antoine Gournay
We say a map f:X \to Y is an ε-embedding if it is continuous and the diameter of the fibres is less than ε. This type of maps is used in the notion of Urysohn width (sometimes refe…