Loop space decompositions of \((2n-2)\)-connected \((4n-1)\)-dimensional Poincaré duality complexes

DOI10.1007/s40687-022-00338-yzbMath1502.55008arXiv2106.08055OpenAlexW3168322939MaRDI QIDQ2168881

Stephen D. Theriault, Rui Zhi Huang

Publication date: 26 August 2022

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08055

zbMATH Keywords

loop space decompositionPoincaré duality spaceWhitehead product

Mathematics Subject Classification ID

Loop spaces (55P35) Algebraic topology of manifolds (57N65) Whitehead products and generalizations (55Q15)

Related Items (2)

Loop homotopy of 6-manifolds over 4-manifolds ⋮ Suspension homotopy of 6-manifolds

Cites Work

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• Torsion in homotopy groups
• Homotopy groups of highly connected manifolds
• Homotopy groups of highly connected Poincaré duality complexes
• The loop space homotopy type of simply-connected four-manifolds and their generalizations
• The homotopy type of the loops on \((n-1)\)-connected \((2n+1)\)-manifolds
• On homotopy type of certain complexes
• Reduced product spaces
• The Homotopy Type of a Poincaré Duality Complex After Looping
• SPACES OF FINITE CHARACTERISTIC
• Primary homotopy theory
• Constructing product fibrations by means of a generalization of a theorem of Ganea

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