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Homotopy linear algebra

Autor
Galvez, M.; Kock, J.; Tonks, A.
Tipus d'activitat
Document cientificotècnic
Data
2016-02
Projecte finançador
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Geometria de varietats i aplicacions
Geometría y topología de variedades, algebra y aplicaciones
Repositori
http://hdl.handle.net/2117/84108 Obrir en finestra nova
URL
http://arxiv.org/abs/1602.05082 Obrir en finestra nova
Resum
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...
Citació
Galvez, M., Kock, J., Tonks, A. "Homotopy linear algebra". 2016.
Paraules clau
Algebraic Topology
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

Arxius