Abstract
AbstractBeben and Wu showed that ifMis a$$(2n-2)$$(2n-2)-connected$$(4n-1)$$(4n-1)-dimensional Poincaré Duality complex such that$$n\ge 3$$n≥3and$$H^{2n}(M;{{\mathbb {Z}}})$$H2n(M;Z)consists only of odd torsion, then$$\Omega M$$ΩMcan be decomposed up to homotopy as a product of simpler, well-studied spaces. We use a result from Beben and Theriault (Doc Math 27:183-211, 2022) to greatly simplify and enhance Beben and Wu’s work and to extend it in various directions.
Funder
National Natural Science Foundation of China
National Key R &D Program of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Mathematics (miscellaneous),Theoretical Computer Science
Cited by
2 articles.
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