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

DOI10.1515/FORUM.2007.021zbMath1138.55008arXivmath/0507140MaRDI QIDQ5444003

Natàlia Castellana, Jérôme Scherer, Juan Alfonso Crespo

Publication date: 22 February 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507140

zbMATH Keywords

\(k\)-invariantsLannes' \(T\)-functor\(p\)-completion\(B\mathbb{C}/p\)-nullification\(H\)-space, infinite loop spacePostnikov pieces

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Localization and completion in homotopy theory (55P60) Eilenberg-Mac Lane spaces (55P20) Infinite loop spaces (55P47)

Related Items (3)

On the cohomology of highly connected covers of finite Hopf spaces ⋮ Deconstructing Hopf spaces ⋮ The Krull filtration of the category of unstable modules over the Steenrod algebra

Cites Work

• On the homotopy groups of a finite dimensional space
• The Sullivan conjecture on maps from classifying spaces
• A propos de conjectures de Serre et Sullivan
• Torsion in \(H\)-spaces
• On topologically realizing modules over the Steenrod algebra
• Cohomologie modulo 2 des complexes d'Eilenberg-MacLane
• Localization and Periodicity in Unstable Homotopy Theory
• Infinite loop spaces and Neisendorfer localization
• The Krull filtration on the category \(U\) and cohomology of spaces

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