We introduce a notion of categorical homotopic distance between functors by adapting the notion of homotopic distance in topological spaces, recently defined by the authors, to the context of small categories. Moreover, this notion generalizes the work on categorical LS-category of small categories by Tanaka.

中文翻译：

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函子之间的同位距离

通过将作者最近定义的拓扑空间中的同位距离的概念适应于小类别的背景，我们引入了函子之间的同构距离的概念。而且，该概念概括了田中在小类别的分类LS-类别上的工作。