Model categories for orthogonal calculus

DOI10.2140/agt.2013.13.959zbMath1268.55001arXiv1101.4099OpenAlexW2034710066MaRDI QIDQ1948305

David Barnes, Peter J. Oman

Publication date: 3 May 2013

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

Full work available at URL: https://arxiv.org/abs/1101.4099

zbMATH Keywords

group actionmodel categoryorthogonal calculus\(n\)-homogeneous functor\(n\)-polynomial functor\(n\)-stable model structurehomogeneous model structurepolynomial model structure

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Equivariant homotopy theory in algebraic topology (55P91)

Related Items (9)

Comparing the orthogonal and homotopy functor calculi ⋮ Enriched functor categories for functor calculus ⋮ Unitary calculus: model categories and convergence ⋮ Capturing Goodwillie's derivative ⋮ Recovering unitary calculus from calculus with reality ⋮ Calculus of functors and model categories. II ⋮ Rational orthogonal calculus ⋮ Rational Pontryagin classes and functor calculus ⋮ UNITARY FUNCTOR CALCULUS WITH REALITY

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