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arxiv: 1810.08478 · v1 · pith:I6ACUFWInew · submitted 2018-10-19 · 🧮 math.GT · math.AT

On 1-connected 8-manifolds with the same homology as S³times S⁵

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keywords manifoldsconnectedhomologysametimesarticleclassifycomplexes
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In this article, we classify 1-connected 8-dimensional Poincar\'e complexes, topological manifolds and smooth manifolds with the same homology as $S^3\times S^5$. Some questions of Escher-Ziller are also discussed.

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