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Homotopy linear algebra

Author
Galvez, M.; Kock, J.; Tonks, A.
Type of activity
Report
Date
2016-02
Project funding
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Geometria de varietats i aplicacions
Geometry and topology of varieties, algebra and applications
Repository
http://hdl.handle.net/2117/84108 Open in new window
URL
http://arxiv.org/abs/1602.05082 Open in new window
Abstract
By homotopy linear algebra we mean the study of linear functors between slices of the 8-category of 8-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices into 8-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-Walker compatible with this duality. We needed these results to support our work on incidence algebras...
Citation
Galvez, M., Kock, J., Tonks, A. "Homotopy linear algebra". 2016.
Keywords
Algebraic Topology
Group of research
GEOMVAP - Geometry of Manifolds and Applications

Participants

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