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- W2338623008 abstract "Let X be a 2-local ring spectrum of type n which is homotopy commutative up to a finite level of coherence (homotopy associativity is not assumed). We prove that, if (f:Sigma ^kXrightarrow X) is a (v_n) self-map, there exists an N such that, for all (m>0), the cofiber (C(f^{mN})) of (f^{mN}) has a ring spectrum structure extending that on X which is homotopy commutative up to the same level of coherence. A strong analogue of this result holds at odd primes. We also discuss the relevance of this result to the problem of constructing explicit (v_{n+1}) self-maps and provide a framework for extending our results to higher multiplicative structures including higher homotopy associativity." @default.
- W2338623008 created "2016-06-24" @default.
- W2338623008 creator A5034673908 @default.
- W2338623008 date "2016-04-18" @default.
- W2338623008 modified "2023-10-16" @default.
- W2338623008 title "Higher homotopy commutativity of small ring spectra" @default.
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- W2338623008 doi "https://doi.org/10.1007/s40062-016-0130-6" @default.
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