The rational homotopy type of elliptic spaces up to cohomological dimension 8

DOI10.1007/S13370-015-0377-9zbMath1354.55004OpenAlexW1427882560MaRDI QIDQ337973

Hicham Yamoul, Mohamed Rachid Hilali, My Ismail Mamouni

Publication date: 3 November 2016

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-015-0377-9

zbMATH Keywords

rational homotopy theoryelliptic spacesrational homotopy typeSullivan models

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Rational homotopy theory (55P62) Homotopy groups, general; sets of homotopy classes (55Q05) Homotopy groups of special spaces (55Q52)

Cites Work

• Unnamed Item
• On the classification of rational homotopy types of elliptic spaces with homotopy Euler characteristic zero for dim \(< 8\)
• A conjectured lower bound for the cohomological dimension of elliptic spaces
• The Lie algebra structure of tangent cohomology and deformation theory
• An arithmetic characterization of the rational homotopy groups of certain spaces
• Elliptic spaces with the rational homotopy type of spheres
• The set of rational homotopy types with given cohomology algebra
• Reduced product spaces
• Classification of Rational Homotopy Type for 8-Cohomological Dimension Elliptic Spaces
• Classification of minimal algebras over any field up to dimension $6$
• Cohomology C_∞-algebra and rational homotopy type
• Finiteness in the Minimal Models of Sullivan

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