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2008 On the homotopy groups of symmetric spectra
Stefan Schwede
Geom. Topol. 12(3): 1313-1344 (2008). DOI: 10.2140/gt.2008.12.1313


We construct a natural, tame action of the monoid of injective self-maps of the set of natural numbers on the homotopy groups of a symmetric spectrum. This extra algebraic structure allows a conceptual and uniform understanding of various phenomena related to π–isomorphisms, semistability and the relationship between naive and true homotopy groups for symmetric spectra.


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Stefan Schwede. "On the homotopy groups of symmetric spectra." Geom. Topol. 12 (3) 1313 - 1344, 2008.


Received: 30 September 2006; Accepted: 5 April 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1146.55005
MathSciNet: MR2421129
Digital Object Identifier: 10.2140/gt.2008.12.1313

Primary: 55P42
Secondary: 55U35

Keywords: symmetric spectrum

Rights: Copyright © 2008 Mathematical Sciences Publishers

Vol.12 • No. 3 • 2008
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