Monochromatic homotopy theory is asymptotically algebraic

Tobias Barthel, Tomer M. Schlank*, Nathaniel Stapleton

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In previous work, we used an ∞-categorical version of ultraproducts to show that, for a fixed height n, the symmetric monoidal ∞-categories of En,p-local spectra are asymptotically algebraic in the prime p. In this paper, we prove the analogous result for the symmetric monoidal ∞-categories of Kp(n)-local spectra, where Kp(n) is Morava K-theory at height n and the prime p. This requires ∞-categorical tools suitable for working with compactly generated symmetric monoidal ∞-categories with non-compact unit. The equivalences that we produce here are compatible with the equivalences for the En,p-local ∞-categories.

Original languageAmerican English
Article number107999
JournalAdvances in Mathematics
Volume393
DOIs
StatePublished - 24 Dec 2021

Bibliographical note

Publisher Copyright:
© 2021

Keywords

  • Ultraproduct chromatic homotopy theory

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