A lower bound for the cohomological dimension of an elliptic space

DOI10.1016/j.topol.2008.07.011zbMath1161.55003arXiv0712.3784OpenAlexW1988008468MaRDI QIDQ2378295

My Ismail Mamouni, Mohamed Rachid Hilali

Publication date: 7 January 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3784

zbMATH Keywords

rational homotopy theorycohomologysymplectic manifolds\(H\)-spacesnilmanifoldselliptic spacesSullivan minimal modelcosymplectic manifoldsToral rankhyperelliptic spacespure spaces

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Elliptic cohomology (55N34) Homology and homotopy of topological groups and related structures (57T99)

Related Items (6)

Self-products of rationally elliptic spaces and inequalities between the ranks of homotopy and homology groups ⋮ C-symplectic poset structure on a simply connected space ⋮ Local comparisons of homological and homotopical mixed Hodge polynomials ⋮ On a conjecture of Yamaguchi and Yokura ⋮ A note on the Hilali conjecture ⋮ Verifying the Hilali conjecture up to formal dimension twenty

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• The category of nilmanifolds
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• Topology of almost contact manifolds
• Finiteness in the Minimal Models of Sullivan
• LIE GROUP ACTIONS ON SPACES OF FINITE RANK
• Cohomology of Nilmanifolds and Torsion-Free, Nilpotent Groups

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