Localization of André-Quillen-Goodwillie towers, and the periodic homology of infinite loopspaces |
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Authors: | Nicholas J. Kuhn |
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Affiliation: | Department of Mathematics, University of Virginia, Charlottesville, VA 22903, USA |
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Abstract: | Let K(n) be the nth Morava K-theory at a prime p, and let T(n) be the telescope of a vn-self map of a finite complex of type n. In this paper we study the K(n)*-homology of Ω∞X, the 0th space of a spectrum X, and many related matters.We give a sampling of our results.Let PX be the free commutative S-algebra generated by X: it is weakly equivalent to the wedge of all the extended powers of X. We construct a natural map sn(X):LT(n)P(X)→LT(n)Σ∞(Ω∞X)+ |
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Keywords: | primary 55P43 55P47 55N20 secondary 18G55 |
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