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Paper detail

Generic Properties of Compact Metric Spaces

We prove that there is a residual subset of the Gromov-Hausdorff space (i.e. the space of all compact metric spaces up to isometry endowed with the Gromov-Hausdorff distance) whose points enjoy several unexpected properties. In particular, they have zero lower box dimension and infinite upper box dimension.

preprint2010arXivOpen access
Joël Rouyer
math.MG
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Joël Rouyer

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