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Corrigendum to "Asymptotic homology of graph braid groups"

Byung Hee An, Gabriel C. Drummond-Cole, Ben Knudsen

Abstract

We correct an error in the paper referred to in the title. Part of the argument is organized as a general method for establishing when (derived) functors factor through a fixed Serre subcategory, which may be of some more general interest.

Corrigendum to "Asymptotic homology of graph braid groups"

Abstract

We correct an error in the paper referred to in the title. Part of the argument is organized as a general method for establishing when (derived) functors factor through a fixed Serre subcategory, which may be of some more general interest.
Paper Structure (6 sections, 9 theorems, 3 equations)

This paper contains 6 sections, 9 theorems, 3 equations.

Table of Contents

  1. Introduction
  2. Conventions
  3. Acknowledgements
  4. Factoring through a Serre subcategory
  5. The role of Noetherianity
  6. Application to tame modules

Key Result

Proposition 1.1

If $M$ is a tame $\mathbb{Z}[E(\mathsf{\Gamma}_v)]$-module, then the $\mathbb{Z}[E(\mathsf{\Gamma})]$-modules $M/(e-e')$ and $\mathrm{Tor}_{e-e'}(M)$ are also tame.

Theorems & Definitions (19)

  • Proposition 1.1
  • Definition 2.1
  • Lemma 2.2
  • proof
  • Proposition 2.3
  • Remark 2.4
  • Definition 2.5
  • Lemma 2.6
  • proof
  • Lemma 2.7
  • ...and 9 more