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The Stable Hurewicz Image of the Sphere at Two

OpenAI

OpenAI Mathopenai-math/The-Stable-Hurewicz-Image-of-the-Sphere-at-TwoSep 25, 2026math.GTAI-generatedscore 0

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.

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