Relating Postnikov pieces with the Krull filtration: a spin-off of Serre's theorem
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منابع مشابه
Relating Postnikov Pieces with the Krull Filtration: a Spin-off of Serre’s Theorem
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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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. In particular, a p-complete infinite loop space has a finite number o...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2007
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum.2007.021