Directional derivatives and higher order chain rules for abelian functor calculus

DOI10.1016/j.topol.2017.12.010zbMath1435.18005arXiv1610.01930OpenAlexW2962777028MaRDI QIDQ684012

Christina Osborne, Kristine Bauer, Brenda Johnson, Amelia Tebbe, Emily Riehl

Publication date: 9 February 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01930

zbMATH Keywords

chain ruleFaà di Bruno formulafunctor calculusabelian categoriesCartesian differential categories

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Abelian categories, Grothendieck categories (18E10) Chain complexes (category-theoretic aspects), dg categories (18G35) Homotopy functors in algebraic topology (55P65) Eilenberg-Moore and Kleisli constructions for monads (18C20)

Related Items (6)

Cartesian differential categories as skew enriched categories ⋮ A simplicial foundation for differential and sector forms in tangent categories ⋮ Linearizing Combinators ⋮ A Tangent Category Alternative to the Fa\`a di Bruno Construction ⋮ Exponential functions in Cartesian differential categories ⋮ Affine geometric spaces in tangent categories

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