Faculté des sciences

## Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces

### In: Journal für die reine und angewandte Mathematik, 2007, no. 608, p. 1-15

It is shown that the Gromov-Hausdorff limit of a subanalytic 1-parameter family of compact connected sets (endowed with the inner metric) exists. If the family is semialgebraic, then the limit space can be identified with a semialgebraic set over some real closed field. Different notions of tangent cones (pointed Gromov-Hausdorff limits, blow-ups and Alexandrov cones) for a closed connected... More