Emergence of the Witt group in the cellular lattice of rational spaces

DOI10.1090/S0002-9947-02-03049-0zbMath1012.55015MaRDI QIDQ3151245

Paul-Eugène Parent, Kathryn P. Hess

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

quadratic formWitt groupQuillen modelcellular space

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Classification of homotopy type (55P15) Rational homotopy theory (55P62) Localization and completion in homotopy theory (55P60)

Related Items (2)

Rational spaces in resolving classes ⋮ Density and unique decomposition theorems for the lattice of cellular classes

Cites Work

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• On the chain algebra of a loop space
• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
• Infinitesimal computations in topology
• Classification theorems for central simple algebras with involution (with an appendix by R. Parimala)
• Cellular spaces, null spaces and homotopy localization
• Rational homotopy theory
• Homotopy limits, completions and localizations
• Suites inertes dans les algèbres de Lie grasuées. ("Autopsie d'un meurtre II").
• Localization and Periodicity in Unstable Homotopy Theory
• Hopf Algebras up to Homotopy
• Cellular generators
• Nilpotence and stable homotopy theory. II

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