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

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

2005-07-07

arxiv.org/abs/math/0507140v1

Mathematics

Algebraic Topology

8 pages

Scientific paper

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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