Chromatic completion
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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.References
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Additional Information
- Tobias Barthel
- Affiliation: Max Planck Institute for Mathematics, Bonn, Germany
- MR Author ID: 1015635
- Email: tbarthel@mpim-bonn.mpg.de
- Received by editor(s): January 2, 2015
- Received by editor(s) in revised form: May 12, 2015
- Published electronically: September 11, 2015
- Communicated by: Michael A. Mandell
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2263-2274
- MSC (2010): Primary 55P42, 55P60
- DOI: https://doi.org/10.1090/proc/12867
- MathSciNet review: 3460184