Product and other fine structure in polynomial resolutions of mapping spaces

DOI10.2140/agt.2002.2.591zbMath1015.55006arXivmath/0109041OpenAlexW3103706471MaRDI QIDQ1606293

Stephen T. Ahearn, Nicholas J. Kuhn

Publication date: 24 July 2002

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

Full work available at URL: https://arxiv.org/abs/math/0109041

zbMATH Keywords

spectral sequenceGoodwillie towergeneralized cohomologymapping spacecontinuous based functions

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Loop spaces (55P35)

Related Items

Localization of André-Quillen-Goodwillie towers, and the periodic homology of infinite loopspaces ⋮ Moduli of suspension spectra ⋮ Koszul duality for topological E _n ‐operads ⋮ The Arone-Goodwillie spectral sequence for \(\Sigma^{\infty }\Omega^{n}\) and topological realization at odd primes ⋮ The Salvetti complex and the little cubes ⋮ Iterated bar complexes of \(E\)-infinity algebras and homology theories ⋮ The mod 2 homology of infinite loopspaces ⋮ On the homology of mapping spaces ⋮ Poincaré/Koszul duality ⋮ Loop structures in Taylor towers ⋮ Goodwillie Approximations to Higher Categories ⋮ Tate cohomology and periodic localization of polynomial functors ⋮ Models for the Maclaurin tower of a simplicial functor via a derived Yoneda embedding ⋮ On the rational homology of high-dimensional analogues of spaces of long knots ⋮ Mapping spaces and homology isomorphisms ⋮ Topological nonrealization results via the Goodwillie tower approach to iterated loopspace homology ⋮ Essential extensions, the nilpotent filtration and the Arone–Goodwillie tower ⋮ 𝐾-theory and topological cyclic homology of henselian pairs

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