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

Natalia Castellana·Juan A. Crespo·Jerome Scherer
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Abstract

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.

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Natalia Castellana, Juan A. Crespo, Jerome Scherer. 2005-07-07. Relating Postnikov pieces with the Krull filtration: A spin-off of Serre's theorem. https://arxiv.org/abs/math/0507140

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