Enregistré dans:
Détails bibliographiques
Auteurs principaux: Huang, Ruizhi, Theriault, Stephen
Format: Preprint
Publié: 2021
Sujets:
Accès en ligne:https://arxiv.org/abs/2106.08055
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Table des matières:
  • Beben and Wu showed that if $M$ is a $(2n-2)$-connected $(4n-1)$-dimensional Poincaré Duality complex such that $n\geq 3$ and $H^{2n}(M;\mathbb{Z})$ consists only of odd torsion, then $ΩM$ can be decomposed up to homotopy as a product of simpler, well studied spaces. We use a result from \cite{BT2} to greatly simplify and enhance Beben and Wu's work and to extend it in various directions.