On the algebraic \(K\)-theory of simply connected spaces

DOI10.1215/S0012-7094-96-08417-3zbMath0867.19003WikidataQ104529650 ScholiaQ104529650MaRDI QIDQ1815362

Thomas G. Goodwillie, Ib Madsen, Gunnar Carlsson, Marcel Bökstedt, Ralph L. Cohen, Wu-Chung Hsiang

Publication date: 13 July 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

cyclotomic tracecalculus of homotopy functors

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Topological (K)-theory (55N15) Isotopy in differential topology (57R52) Homotopy functors in algebraic topology (55P65) Algebraic (K)-theory of spaces (19D10)

Related Items (9)

On the homotopy type of \(A({\Sigma}X)\) ⋮ Relative algebraic \(K\)-theory and topological cyclic homology ⋮ Relative \(K\)-theory and topological cyclic homology ⋮ Manifolds, K-theory and the calculus of functors ⋮ Calculus. III: Taylor series ⋮ Cyclic homology in a special world ⋮ Calculus. II: Analytic functors ⋮ On the algebraic \(K\)-theory of the complex \(K\)-theory spectrum ⋮ Homotopy-theoretically enriched categories of noncommutative motives

Cites Work

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• The stability theorem for smooth pseudoisotopies
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• The free loop space and the algebraic K-theory of spaces
• Calculus. II: Analytic functors
• Genetics of homotopy theory and the Adams conjecture
• The cyclotomic trace and algebraic K-theory of spaces
• Calculus. I: The first derivative of pseudoisotopy theory
• Homotopy limits, completions and localizations
• HOMOTOPY QUOTIENTS OF MAPPING SPACES AND THEIR STABLE SPLITTING

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