Moduli of suspension spectra

Details Moduli of suspension spectra Moduli of suspension spectra

2002-10-17

arxiv.org/abs/math/0210258v4

Mathematics

Algebraic Topology

24 pages. In this version (hopefully the last), I've added an appendix which explains the classification of quadratic homotopy

Scientific paper

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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