Homotopy linear algebra

DOI10.1017/S0308210517000208zbMath1455.18016arXiv1602.05082MaRDI QIDQ4608911

Joachim Kock, Imma Gálvez-Carrillo, Andrew Tonks

Publication date: 29 March 2018

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05082

zbMATH Keywords

dualitylinear algebrahomotopy finitenesshomotopy cardinalityinfinity-groupoids

Mathematics Subject Classification ID

Duality theory for topological vector spaces (46A20) Basic linear algebra (15A99) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Simplicial sets, simplicial objects (18N50)

Related Items (11)

Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory ⋮ Decomposition spaces, incidence algebras and Möbius inversion. II: Completeness, length filtration, and finiteness ⋮ A simplicial groupoid for plethysm ⋮ Antipodes of monoidal decomposition spaces ⋮ Plethysms and operads ⋮ Polynomial functors and combinatorial Dyson–Schwinger equations ⋮ Incidence bicomodules, Möbius inversion and a Rota formula for infinity adjunctions ⋮ The incidence comodule bialgebra of the Baez-Dolan construction ⋮ Decomposition spaces, incidence algebras and Möbius inversion. III: The decomposition space of Möbius intervals ⋮ Faà di Bruno for operads and internal algebras ⋮ Corrigendum to: ``Decomposition spaces, incidence algebras and Möbius inversion. II: Completeness, length filtration, and finiteness

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