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| Asıl Yazarlar: | , |
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| Materyal Türü: | Preprint |
| Baskı/Yayın Bilgisi: |
2021
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| Konular: | |
| Online Erişim: | https://arxiv.org/abs/2106.08055 |
| Etiketler: |
Etiketle
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| _version_ | 1866908341015412736 |
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| author | Huang, Ruizhi Theriault, Stephen |
| author_facet | Huang, Ruizhi Theriault, Stephen |
| contents | Beben and Wu showed that if $M$ is a $(2n-2)$-connected $(4n-1)$-dimensional Poincaré Duality complex such that $n\geq 3$ and $H^{2n}(M;\mathbb{Z})$ consists only of odd torsion, then $ΩM$ can be decomposed up to homotopy as a product of simpler, well studied spaces. We use a result from \cite{BT2} to greatly simplify and enhance Beben and Wu's work and to extend it in various directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_08055 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Loop space decompositions of $(2n-2)$-connected $(4n-1)$-dimensional Poincaré Duality complexes Huang, Ruizhi Theriault, Stephen Algebraic Topology Geometric Topology Beben and Wu showed that if $M$ is a $(2n-2)$-connected $(4n-1)$-dimensional Poincaré Duality complex such that $n\geq 3$ and $H^{2n}(M;\mathbb{Z})$ consists only of odd torsion, then $ΩM$ can be decomposed up to homotopy as a product of simpler, well studied spaces. We use a result from \cite{BT2} to greatly simplify and enhance Beben and Wu's work and to extend it in various directions. |
| title | Loop space decompositions of $(2n-2)$-connected $(4n-1)$-dimensional Poincaré Duality complexes |
| topic | Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2106.08055 |