Moduli of suspension spectra

Klein, John

doi:10.1090/S0002-9947-04-03474-9

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ISSN 1088-6850(online) ISSN 0002-9947(print)

Moduli of suspension spectra

Author: John R. Klein
Translated by:
Journal: Trans. Amer. Math. Soc. 357 (2005), 489-507
MSC (2000): Primary 55P42, 55P43; Secondary 55P40, 55P65
Posted: March 23, 2004
MathSciNet review: 2095620
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Abstract: For a -connected spectrum , we study the moduli space of suspension spectra which come equipped with a weak equivalence to . We construct a spectral sequence converging to the homotopy of the moduli space in positive degrees. In the metastable range, we get a complete homotopical classification of the path components of the moduli space. Our main tool is Goodwillie's calculus of homotopy functors.

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