The Sphere of Semiadditive Height 1

Allen Yuan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We construct a lift of the p-complete sphere to the universal height 1 higher semiadditive stable ∞-category 1 of Carmeli–Schlank–Yanovski, providing a counterexample, at height 1, to their conjecture that the natural functor n → SpT(n) is an equivalence. We then record some consequences of the construction, including an observation of Schlank that this gives a conceptual proof of a classical theorem of Lee on the stable cohomotopy of Eilenberg–MacLane spaces.

Original languageEnglish (US)
Pages (from-to)675-697
Number of pages23
JournalInternational Mathematics Research Notices
Volume2024
Issue number1
DOIs
StatePublished - Jan 1 2024

Funding

This work was supported in part by the NSF [DMS-2002029]. Acknowledgments

ASJC Scopus subject areas

  • General Mathematics

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