{"id":"openai-math/The-Stable-Hurewicz-Image-of-the-Sphere-at-Two","pdf":"https://github.com/openai/math/blob/main/preprints/The-Stable-Hurewicz-Image-of-the-Sphere-at-Two-September-25-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-Stable-Hurewicz-Image-of-the-Sphere-at-Two-September-25-2026","tags":["algebraic-topology","homotopy-theory","stable-homotopy"],"score":0,"title":"The Stable Hurewicz Image of the Sphere at Two","domain":"Topology","family":"316","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GT","summary":"We prove Curtis's conjecture: in every positive degree, the mod-two stable Hurewicz image of the sphere is spanned by the images of η , ν , σ and the Kervaire-invariant-one classes that exist. Consequently, Eccles's conjecture holds for every sphere S n with n > 0.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-25","reactions":{},"formalized":false,"family_title":"Curtis’s conjecture"}