Verifying the Hilali conjecture up to formal dimension twenty

DOI10.1007/s40062-020-00256-2zbMath1444.55005OpenAlexW3012196349WikidataQ123224599 ScholiaQ123224599MaRDI QIDQ777241

Aleksandar Milivojević, Spencer Cattalani

Publication date: 3 July 2020

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40062-020-00256-2

zbMATH Keywords

rational homotopy theoryHilali conjecturerationally elliptic spaces

Mathematics Subject Classification ID

Rational homotopy theory (55P62)

Related Items (2)

Self-products of rationally elliptic spaces and inequalities between the ranks of homotopy and homology groups ⋮ Halperin’s conjecture in formal dimensions up to 20

Uses Software

• SageMath

Cites Work

• A conjectured lower bound for the cohomological dimension of elliptic spaces
• An arithmetic characterization of the rational homotopy groups of certain spaces
• On the formality of k-1 connected compact manifolds of dimension less than or equal to 4k-2
• A lower bound for the cohomological dimension of an elliptic space
• The Hilali Conjecture for Hyperelliptic Spaces
• Unnamed Item

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