WHITEHEAD EXACT SEQUENCE AND DIFFERENTIAL GRADED FREE LIE ALGEBRA

DOI10.1142/S0129167X04002673zbMath1070.55009OpenAlexW2009323453WikidataQ115246544 ScholiaQ115246544MaRDI QIDQ4653530

Mahmoud Benkhalifa

Publication date: 7 March 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x04002673

zbMATH Keywords

homotopy typeWhitehead exact sequenceweak equivalencedifferential graded free Lie algebraisomorphism functor

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Topological categories, foundations of homotopy theory (55U40) Whitehead products and generalizations (55Q15)

Related Items (4)

On the Euler-Poincaré characteristics of a simply connected rationally elliptic CW-complex ⋮ On the group of self-homotopy equivalences of \((n+1)\)-connected and \((3n+2)\)-dimensional CW-complex ⋮ The certain exact sequence of Whitehead and the classification of homotopy types of CW-complexes ⋮ ON THE "CERTAIN" EXACT SEQUENCE OF WHITEHEAD

Cites Work

• On the chain algebra of a loop space
• Sur le type d'homotopie d'un CW-complexe
• On the homotopy type of a chain algebra
• An R-local Milnor-Moore theorem
• On the structure of Hopf algebras
• Rational homotopy theory
• A certain exact sequence

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