Some Properties of Gromov-Hausdorff Distances

@article{Mmoli2012SomePO,
  title={Some Properties of Gromov-Hausdorff Distances},
  author={Facundo M{\'e}moli},
  journal={Discrete & Computational Geometry},
  year={2012},
  volume={48},
  pages={416-440}
}
The Gromov–Hausdorff distance between metric spaces appears to be a useful tool for modeling some object matching procedures. Since its conception it has been mainly used by pure mathematicians who are interested in the topology generated by this distance, and quantitative consequences of the definition are not very common. As a result, only few lower bounds for the distance are known, and the stability of many metric invariants is not understood. This paper aims at clarifying some of these… CONTINUE READING
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