OpenAI reports Curtis’s stable Hurewicz conjecture
- Mathematics
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.
OpenAI reports Curtis’s stable Hurewicz conjecture
- Mathematics
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.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
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.
Why it matters
If correct, resolves Curtis’s conjecture and yields Eccles’s conjecture for positive-dimensional spheres.
What counts as progress
Are Hopf and existing Kervaire classes the entire positive-degree stable Hurewicz image?
Website timeline
Publication dates and editorial changes.