The Homotopy Type of a Poincaré Duality Complex After Looping

DOI10.1017/S0013091515000048zbMath1345.57031arXiv1102.1516MaRDI QIDQ2949785

Jie Wu, Piotr Beben

Publication date: 2 October 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1516

zbMATH Keywords

localisationloop spacehomotopy classification of manifoldsPoincaré duality complex

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Loop spaces (55P35) Algebraic topology of manifolds (57N65) Poincaré duality spaces (57P10)

Related Items (7)

The free loop space homology of \((n-1)\)-connected \(2n\)-manifolds ⋮ Loop space decompositions of \((2n-2)\)-connected \((4n-1)\)-dimensional Poincaré duality complexes ⋮ Loop homotopy of 6-manifolds over 4-manifolds ⋮ Suspension homotopy of 6-manifolds ⋮ One-relator groups and algebras related to polyhedral products ⋮ Mod \(p\) decompositions of the loop spaces of compact symmetric spaces ⋮ Homotopy groups of highly connected Poincaré duality complexes

Cites Work

• Applications of combinatorial groups to Hopf invariant and the exponent problem
• The double suspension and exponents of the homotopy groups of spheres
• Genetics of homotopy theory and the Adams conjecture
• Effet d'un attachement cellulaire dans l'homologie de l'espace des lacets. (The effect of attaching cells to the homology of loop spaces)
• On the structure of 5-dimensional Poincaré duality spaces
• Nice and lazy cell attachments
• Localization of CW-complexes and its applications
• Classification of (n-1)-connected 2n-manifolds
• SPACES OF FINITE CHARACTERISTIC
• Suites inertes dans les algèbres de Lie grasuées. ("Autopsie d'un meurtre II").
• The fibre of a cell attachment
• Free and semi-inert cell attachments

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