Orientable $4$-dimensional Poincaré complexes have reducible Spivak fibrations

DOI10.1090/proc/14465zbMath1420.57065arXiv1808.07157OpenAlexW2888428611MaRDI QIDQ5384840

Ian Hambleton

Publication date: 26 June 2019

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

Full work available at URL: https://arxiv.org/abs/1808.07157

zbMATH Keywords

Arf invariantPoincaré duality spaceSpivak normal bundle

Mathematics Subject Classification ID

Other types of cobordism (57R90) Poincaré duality spaces (57P10)

Related Items (2)

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Cites Work

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• Fixed point free involutions on homotopy spheres
• The first exotic class of BF
• Poincaré complexes. I
• Spaces satisfying Poincaré duality
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Poincaré Transversality for Double Covers
• Reducibility of low dimensional Poincar\'e duality spaces

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