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 language | English (US) |
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Pages (from-to) | 675-697 |
Number of pages | 23 |
Journal | International Mathematics Research Notices |
Volume | 2024 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2024 |
Funding
This work was supported in part by the NSF [DMS-2002029]. Acknowledgments
ASJC Scopus subject areas
- General Mathematics