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Hausdorff dimension

Defines: 
countable r-cover, diameter
Major Section: 
Reference
Type of Math Object: 
Definition
Groups audience: 

Mathematics Subject Classification

28A80 no label found

Comments

The definition at the top d_H(\Theta) is NOT Hausdorff dimension. It is "box dimension" or "Bouligand dimension".

The "Notes from Koro" provide the correct definition.

Even in Euclidean space, the two values can differ. For example, the rational numbers in the interval [0,1] ... box dimension 1 but Hausdorff dimension 0.

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