For $X$ a pointed topological space, its suspension spectrum $\Sigma^\infty X$ is the spectrum given by the pre-spectrum whose degree-$n$ space is the $n$-fold reduced suspension of $X$:
(e.g. Elmendorf-Kriz-May, example 1.1)
As a symmetric spectrum: (Schwede 12, example I.2.6)
See at Omega spectrum – Completion of a suspension spectrum.
As an infinity-functor $\Sigma^\infty\colon Top_* \to Spec$ the suspension spectrum functor exhibits the stabilization of Top.
(…)
Frank Adams, part III, section 2 of Stable homotopy and generalised homology, 1974
Anthony Elmendorf, Igor Kriz, Peter May, example 1.1 of Modern foundations for stable homotopy theory, in Ioan Mackenzie James, Handbook of Algebraic Topology, Amsterdam: North-Holland (1995) pp. 213–253, (pdf)
Nicholas J. Kuhn, Suspension spectra and homology equivalences, Trans. Amer. Math. Soc. 283, 303–313 (1984) (JSTOR)
John Klein, Moduli of suspension spectra (arXiv:math/0210258, MO)
Stefan Schwede, Example I.2.6 in Symmetric spectra, 2012 (pdf)
Suspension spectra of infinite loop spaces are discussed (in a context of Goodwillie calculus and chromatic homotopy theory) in
Last revised on March 23, 2016 at 12:46:06. See the history of this page for a list of all contributions to it.