On the rational homotopy Lie algebra of spaces with finite dimensional rational cohomology and homotopy

DOI10.5802/aif.1163zbMath0657.55016OpenAlexW2325845021WikidataQ115159071 ScholiaQ115159071MaRDI QIDQ1110862

Martin Markl

Publication date: 1989

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1989__39_1_193_0

zbMATH Keywords

minimal modelrational homotopy Lie algebrafinite dimensional rational graded Lie algebrasspace of type Fstrong arithmetic conditionstructure constants of graded Lie algebras

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Graded Lie (super)algebras (17B70) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Whitehead products and generalizations (55Q15)

Cites Work

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• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
• An arithmetic characterization of the rational homotopy groups of certain spaces
• Rational homotopy theory
• Finiteness in the Minimal Models of Sullivan

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