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Moduli of suspension spectra

John R. Klein
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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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John R. Klein. 2003-01-03. Moduli of suspension spectra. https://arxiv.org/abs/math/0210258

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