Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/40545
Title: Homotopy Linear Algebra
Authors: Tonks, Andrew P.
Kock, Joachim
Gálvez-Carrillo, Imma
First Published: 17-Oct-2017
Publisher: Cambridge University Press for Royal Society of Edinburgh
Citation: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017
Abstract: By homotopy linear algebra we mean the study of linear functors between slices of the ∞-category of ∞-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices into ∞-categories to model the duality between vector spaces and profinite-dimensional vector spaces, and set up a global notion of homotopy cardinality à la Baez, Hoffnung and Walker compatible with this duality. We needed these results to support our work on incidence algebras and Möbius inversion over ∞-groupoids; we hope that they can also be of independent interest.
DOI Link: 10.1017/S0308210517000208
ISSN: 0308-2105
eISSN: 1473-7124
Links: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/homotopy-linear-algebra/8E584127A7FB28AE5520B6604C7FC3C2
http://hdl.handle.net/2381/40545
Embargo on file until: 17-Apr-2018
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2017, Royal Society of Edinburgh. Deposited with reference to the publisher’s open access archiving policy.
Description: The file associated with this record is under embargo until 6 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
Appears in Collections:Published Articles, Dept. of Mathematics

Files in This Item:
File Description SizeFormat 
HLA.pdfPost-review (final submitted author manuscript)434.82 kBAdobe PDFView/Open


Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.