Comparing the orthogonal and homotopy functor calculi

DOI10.1016/J.JPAA.2016.05.005zbMath1341.55004arXiv1505.05458OpenAlexW2208668213MaRDI QIDQ290769

Rosona Eldred, David Barnes

Publication date: 3 June 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05458

zbMATH Keywords

Taylor towerGoodwillie calculushomotopy functor calculusorthogonal calculusWeiss calculus

Mathematics Subject Classification ID

Homotopy functors in algebraic topology (55P65)

Related Items (4)

Enriched functor categories for functor calculus ⋮ Unitary calculus: model categories and convergence ⋮ Capturing Goodwillie's derivative ⋮ Recovering unitary calculus from calculus with reality

Cites Work

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• Capturing Goodwillie's derivative
• Calculus. II: Analytic functors
• Calculus. III: Taylor series
• The Weiss derivatives of BO(-) and BU(-)
• Calculus. I: The first derivative of pseudoisotopy theory
• Model categories for orthogonal calculus
• Loop structures in Taylor towers
• Calculus of functors and model categories
• Model Categories of Diagram Spectra
• Equivariant orthogonal spectra and 𝑆-modules
• Orthogonal Calculus

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