Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 318-03. A rational obstruction to strong chromatic splitting at height three
Manuscript map · lines 8605–8614
OpenAI@2026-10-07#rem:oai-p-318-03
Authors: OpenAI. Family 318.
Title: A rational obstruction to strong chromatic splitting at height three.
Abstract: For every prime p ≥ 5, the canonical map $L_0L_{K(3)}S{}to L_0L_{K(2)}L_{K(3)}S$ for the sphere spectrum S is nonzero on π−3. Consequently, the height-three strong chromatic splitting formula is false in this range, even as an equivalence of underlying $E(2)$-local spectra without specified summand maps.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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