Injective dimension of sheaves of rational vector spaces

Danny Sugrue

doi:10.1016/j.jpaa.2018.10.011

Injective dimension of sheaves of rational vector spaces

Danny Sugrue

School of Mathematics and Physics

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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. We will be interested primarily in the case that the space is proﬁnite: Hausdorﬀ, compact and totally disconnected. In this paper, we prove that the injective dimension of the abelian category of sheaves of Q-modules over a proﬁnite space X is determined by the CantorBendixson rank of X.

Original language	English
Journal	Journal of Pure and Applied Algebra
Early online date	12 Oct 2018
DOIs	https://doi.org/10.1016/j.jpaa.2018.10.011
Publication status	Early online date - 12 Oct 2018

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Injective dimension of sheaves of rational vector spaces
Copyright 2018 Elsevier. This manuscript is distributed under a Creative Commons Attribution-NonCommercial-NoDerivs License (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits distribution and reproduction for non-commercial purposes, provided the author and source are cited.
Accepted author manuscript, 346 KBLicence: CC BY-NC-ND

Rational G-spectra for profinite G
Sugrue, D. (Author), Barnes, D. (Supervisor) & Mathieu, M. (Supervisor), Dec 2019
Student thesis: Doctoral Thesis › Doctor of Philosophy

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Injective dimension of sheaves of rational vector spaces

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Student theses

Rational G-spectra for profinite G

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