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Formalizing the Gromov-Hausdorff space

Published 31 Aug 2021 in cs.LO and math.MG | (2108.13660v1)

Abstract: The Gromov-Hausdorff space is usually defined in textbooks as "the space of all compact metric spaces up to isometry". We describe a formalization of this notion in the Lean proof assistant, insisting on how we need to depart from the usual informal viewpoint of mathematicians on this object to get a rigorous formalization.

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Authors (1)

  1. Sébastien Gouëzel 

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