Injective dimension of sheaves of rational vector spaces
Algebraic Topology
2018-06-28 v1
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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Cite
@article{arxiv.1806.10153,
title = {Injective dimension of sheaves of rational vector spaces},
author = {Danny Sugrue},
journal= {arXiv preprint arXiv:1806.10153},
year = {2018}
}
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17 pages