Injective dimension of sheaves of rational vector spaces

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    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.


    • Injective dimension of sheaves of rational vector spaces

      Rights statement: Copyright 2018 Elsevier. This manuscript is distributed under a Creative Commons Attribution-NonCommercial-NoDerivs License (, which permits distribution and reproduction for non-commercial purposes, provided the author and source are cited.

      Accepted author manuscript, 345 KB, PDF-document

      Embargo ends: 12/10/2019


    Original languageEnglish
    JournalJournal of Pure and Applied Algebra
    Journal publication date12 Oct 2018
    Early online date12 Oct 2018
    Publication statusEarly online date - 12 Oct 2018

    ID: 160440178