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arXiv · 1806.10153

Injective dimension of sheaves of rational vector spaces

Danny Sugrue
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Abstract

The Cantor-Bendixson rank of a topological space X is a measure of the complexity of the topology of X. The Cantor-Bendixson rank is most interesting when the space is profinite: Hausdorff, compact and totally disconnected. We will see that the injective dimension of the Abelian category of sheaves of rational vector spaces over a profinite space is determined by the Cantor-Bendixson rank of the space.

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Danny Sugrue. 2018-06-26. Injective dimension of sheaves of rational vector spaces. https://arxiv.org/abs/1806.10153

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