Relating Postnikov pieces with the Krull filtration: A spin-off of Serre's theorem
Algebraic Topology
2007-05-23 v1
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.
Cite
@article{arxiv.math/0507140,
title = {Relating Postnikov pieces with the Krull filtration: A spin-off of Serre's theorem},
author = {Natalia Castellana and Juan A. Crespo and Jerome Scherer},
journal= {arXiv preprint arXiv:math/0507140},
year = {2007}
}
Comments
8 pages