Chromatic completion

Barthel, Tobias

doi:10.1090/proc/12867

Chromatic completion
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Proc. Amer. Math. Soc. 144 (2016), 2263-2274 Request permission

Abstract:

We study the limit of the chromatic tower for arbitrary spectra, obtaining a generalization of the chromatic convergence theorem of Hopkins and Ravenel. Moreover, we prove that in general this limit does not coincide with harmonic localization, thereby answering a question of Ravenel’s.

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