Loop space decompositions of $$(2n-2)$$-connected $$(4n-1)$$-dimensional Poincaré Duality complexes
Autor: | Ruizhi Huang, Stephen Theriault |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Research in the Mathematical Sciences. 9 |
ISSN: | 2197-9847 2522-0144 |
Popis: | Beben 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. |
Databáze: | OpenAIRE |
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