On the magnitude homology of metric spaces
classification
🧮 math.MG
math.AG
keywords
homologymagnitudemetricspacesarticlecategoriesconditiondegrees
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Magnitude homology of enriched categories, and in particular of metric spaces, was recently introduced by T. Leinster and M. Shulman. In this article, we prove that metric spaces satisfying a reasonably mild condition have vanishing magnitude homology groups in nonzero degrees.
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