Homotopy linear algebra
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
By homotopy linear algebra we mean the study of linear functors between slices of the infinity-category of infinity-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices into infinity-categories to model the duality between vector spaces and profinite-dimensional vector spaces, and set up a global notion of homotopy cardinality a la Baez, Hoffnung and Walker compatible with this duality. We needed these results to support our work on incidence algebras and Mobius inversion over infinity-groupoids; we hope that they can also be of independent interest.
Originalsprog | Engelsk |
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Tidsskrift | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
Vol/bind | 148 |
Udgave nummer | 2 |
Sider (fra-til) | 293-325 |
Antal sider | 33 |
ISSN | 0308-2105 |
DOI | |
Status | Udgivet - apr. 2018 |
Eksternt udgivet | Ja |
ID: 331498191