A chain rule in the calculus of homotopy functors

DOI10.2140/gt.2002.6.853zbMath1066.55009arXivmath/0301079OpenAlexW3102504663MaRDI QIDQ1428381

John R. Klein, John Rognes

Publication date: 19 May 2005

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301079

zbMATH Keywords

Brown representabilitychain ruleHomotopy functor

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Equivariant homotopy theory in algebraic topology (55P91) Homotopy functors in algebraic topology (55P65)

Related Items

Directional derivatives and higher order chain rules for abelian functor calculus, Models for the Maclaurin tower of a simplicial functor via a derived Yoneda embedding, Infinity‐operads and Day convolution in Goodwillie calculus, A chain rule for Goodwillie derivatives of functors from spectra to spectra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculus. II: Analytic functors
• Stable homotopy of algebraic theories
• On the derivative of the stable homotopy of mapping spaces
• The cyclotomic trace and algebraic K-theory of spaces
• Calculus. I: The first derivative of pseudoisotopy theory
• On the construction of the Kan loop group
• Homotopy limits, completions and localizations
• A Homotopy Theoretical Derivation of $Q \mathrm{Map} (K, -)_+$.
• A generalization of Snaith-type filtration