Relating Postnikov pieces with the Krull filtration: A spin-off of Serre's theorem

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We characterize H-spaces which are p-torsion Postnikov pieces of finite type by a cohomological property together with a necessary acyclicity condition. When the mod p cohomology of an H-space is finitely generated as an algebra over the Steenrod algebra we prove that its homotopy groups behave like those of a finite complex.
8 pages

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Algebraic Topology, 55P45, 55P20, 55P60, 55P47

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http://salesiana.dossiersoluciones.com/handle/123456789/75708

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507140
 http://arxiv.org/abs/math/0507140

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arXiv