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

2005/07/07 by Natalia Castellana, Natàlia Castellana, Castellana, Natalia +5
Mathematics · #55P20 #55P45 #55P47 #55P60 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55P20 #msc:55P45 #msc:55P47 #msc:55P60

paper · pdf · doi:10.48550/arxiv.math/0507140

8 pages

arxiv created 2005/07/07 · openalex publication_date 2005/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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