{"id":"openai-math/Filtered-chromatic-splitting-at-generic-primes","pdf":"https://github.com/openai/math/blob/main/preprints/Filtered-chromatic-splitting-at-generic-primes-September-25-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Filtered-chromatic-splitting-at-generic-primes-September-25-2026","tags":["chromatic-homotopy","stable-homotopy","filtrations"],"score":0,"title":"Filtered chromatic splitting at generic primes","domain":"Topology","family":"318","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GT","summary":"For every n ≥ 1 and prime $`p\\gt n+1`$, we construct a $`2^n`$-stage ordered filtration of $`L_{n-1}L_{K(n)}S_p^\\wedge`$ with the classical chromatic-splitting cofibers. The map from the first stage to the target is the canonical localization unit.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-25","reactions":{},"formalized":false,"family_title":"Chromatic splitting: filtrations and counterexamples"}