Journal article

Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces

  • Bernig, Andreas Département de Mathématiques, Université de Fribourg, Switzerland
  • Lytchak, Alexander Mathematisches Institut, Universität Bonn, Germany
    2007
Published in:
  • Journal für die reine und angewandte Mathematik. - 2007, no. 608, p. 1-15
English 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... Show more…
Faculty
Faculté des sciences et de médecine
Department
Département de Mathématiques
Language
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/300417