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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
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
Published electronically: March 23, 2004
MathSciNet review: 2095620
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Abstract | References | Similar Articles | Additional Information

Abstract: For a $1$-connected spectrum $E$, we study the moduli space of suspension spectra which come equipped with a weak equivalence to $E$. 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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Additional Information

John R. Klein
Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
Email: klein@math.wayne.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-04-03474-9
PII: S 0002-9947(04)03474-9
Received by editor(s): January 3, 2003
Received by editor(s) in revised form: July 1, 2003
Published electronically: March 23, 2004
Additional Notes: The author was partially supported by NSF Grant DMS-0201695
Article copyright: © Copyright 2004 American Mathematical Society