On the k-invariants of iterated loop spaces

DOI10.1017/S0308210500022332zbMath0665.55012OpenAlexW2074062389MaRDI QIDQ3816719

Dominique Arlettaz

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022332

zbMATH Keywords

Serre exact sequencefibrations of a Postnikov towerm-connected simple CW-complexorder of the \((n+1)\)-st k-invariantr-fold loop space

Mathematics Subject Classification ID

Loop spaces (55P35) Postnikov systems, (k)-invariants (55S45)

Related Items

Universal bounds for the exponent of stable homotopy groups ⋮ The order of the differentials in the Atiyah-Hirzebruch spectral sequence ⋮ Characteristic classes and obstruction theory for infinite loop spaces ⋮ The Hurewicz homomorphism in algebraic K-theory

Cites Work

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• On the homology of the special linear group over a number field
• Delooping classifying spaces in algebraic K-theory
• Whitehead Products and Postnikov Systems
• $K$-théorie algébrique et représentations de groupes