Title of article
Generic properties of compact metric spaces
Author/Authors
Rouyer، نويسنده , , Joël، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2011
Pages
8
From page
2140
To page
2147
Abstract
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 elements enjoy several unexpected properties. In particular, they have zero lower box dimension and infinite upper box dimension.
Keywords
Gromov–Hausdorff space , Generic properties , Dimension , Compact metric spaces
Journal title
Topology and its Applications
Serial Year
2011
Journal title
Topology and its Applications
Record number
1583053
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