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On the magnitude homology of metric spaces (1803.05062v1)
Published 13 Mar 2018 in math.MG and math.AG
Abstract: 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.