Hepworth, Willerton, Leinster and Shulman introduced the magnitude homology groups for enriched categories, in particular, for metric spaces. The purpose of this paper is to describe the magnitude homology group of a metric space in terms of order complexes of posets.

中文翻译：

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度量空间和阶复形的量级同调

Hepworth、Willerton、Leinster 和 Shulman 介绍了丰富类别的量级同调群，特别是度量空间。本文的目的是用偏序集的阶复数来描述度量空间的幅度同调群。