The Euler characteristic of a category as the sum of a divergent series

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dc.creatorLeinster, Tom
dc.date2007-07-05
dc.date.accessioned2026-07-07T08:14:11Z
dc.date.available2026-07-07T08:14:11Z
dc.descriptionThe Euler characteristic of a cell complex is often thought of as the alternating sum of the number of cells of each dimension. When the complex is infinite, the sum diverges. Nevertheless, it can sometimes be evaluated; in particular, this is possible when the complex is the nerve of a finite category. This provides an alternative definition of the Euler characteristic of a category, which is in many cases equivalent to the original one (math.CT/0610260).
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0707.0835
dc.identifierhttp://arxiv.org/abs/0707.0835
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133033
dc.subjectCategory Theory
dc.subjectAlgebraic Topology
dc.titleThe Euler characteristic of a category as the sum of a divergent series
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