An R-local Milnor-Moore theorem

DOI10.1016/0001-8708(89)90016-9zbMath0684.55010OpenAlexW2050972010MaRDI QIDQ1825470

David J. Anick

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0001-8708(89)90016-9

zbMATH Keywords

Hopf algebrasenveloping algebraCW complexdifferential graded Lie algebrahomotopy invarianthomotopy Lie algebras

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60)

Related Items (7)

The Milnor-Moore theorem in tame homotopy theory ⋮ WHITEHEAD EXACT SEQUENCE AND DIFFERENTIAL GRADED FREE LIE ALGEBRA ⋮ Mild and tame homotopy theory ⋮ On the homotopy type of \((n-1)\)-connected \((3n+1)\)-dimensional free chain Lie algebra ⋮ The certain exact sequence of Whitehead and the classification of homotopy types of CW-complexes ⋮ A factorization of the homology of a differential graded Lie algebra ⋮ ON THE "CERTAIN" EXACT SEQUENCE OF WHITEHEAD

Cites Work

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• Algèbres connexes et homologie des espaces de lacets
• Torsion in homotopy groups
• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
• On the structure of Hopf algebras
• Rational homotopy theory
• Reduced product spaces
• Primary homotopy theory
• Hopf Algebras up to Homotopy

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