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On the k-invariants of iterated loop spaces

Published online by Cambridge University Press:  14 November 2011

Dominique Arlettaz
Dominique Arlettaz
Affiliation:
Institut de mathématiques, Université de Lausanne, CH-1015 Lausanne, Switzerland
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Synopsis

The purpose of this paper is to give universal bounds for the order of the Postnikov k-invariants of infinite loop spaces. This is done by giving universal bounds for the order of the k-invariants of m-connected r-fold loop spaces in dimensions ≦ r + 2m. An application of the result provides information on the Hurewicz homomorphism between the algebraic K-theory of aring and the homology of its general linear group.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 3-4 , 1988 , pp. 343 - 350
Copyright
Copyright © Royal Society of Edinburgh 1988

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