A classification of Taylor towers of functors of spaces and spectra

DOI10.1016/j.aim.2014.12.007zbMath1312.55017arXiv1209.5661OpenAlexW2087385608MaRDI QIDQ488968

Michael Ching, Gregory Z. Arone

Publication date: 27 January 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5661

zbMATH Keywords

Goodwillie calculus

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Homotopy functors in algebraic topology (55P65)

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Higher stabilization and higher Freudenthal suspension ⋮ Derived Koszul duality and \(\mathsf{TQ}\)-homology completion of structured ring spectra ⋮ A classification of small homotopy functors from spectra to spectra ⋮ Morava $E$-homology of Bousfield-Kuhn functors on odd-dimensional spheres ⋮ Spectral Algebra Models of Unstable $$v_n$$-Periodic Homotopy Theory ⋮ Manifolds, K-theory and the calculus of functors ⋮ Homotopical resolutions associated to deformable adjunctions ⋮ Goodwillie Approximations to Higher Categories ⋮ Infinity‐operads and Day convolution in Goodwillie calculus

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