Lifting homotopy \(T\)-algebra maps to strict maps

DOI10.1016/j.aim.2014.07.002zbMath1306.55006arXiv1301.1511OpenAlexW2169445645MaRDI QIDQ400996

Justin Noel, Niles Johnson

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1301.1511

zbMATH Keywords

spectral sequencesobstruction theorymonadsoperadshomotopy theory

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Obstruction theory in algebraic topology (55S35) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Homotopy theory (55P99) Theories (e.g., algebraic theories), structure, and semantics (18C10) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) General theory of spectral sequences in algebraic topology (55T05) (J)-morphism (55Q50)

Related Items

On a nilpotence conjecture of J. P. May ⋮ A Künneth theorem for configuration spaces ⋮ Spanier–Whitehead duality for topological coHochschild homology ⋮ Gabriel-Morita theory for excisive model categories ⋮ The \(T\)-algebra spectral sequence: comparisons ⋮ Topological equivalences of E-infinity differential graded algebras ⋮ Comparing localizations across adjunctions ⋮ DGAs with polynomial homology

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