rkirov/jordan_pick
The Jordan curve theorem, formalized in Lean 4 against Mathlib: a continuous injective map from the circle into the plane has a complement with exactly two connected components. The hypothesis is bare continuity and injectivity — no smoothness, piecewise-linearity or rectifiability — which is what makes the theorem hard and what separates it from the polygonal case. The proof follows Maehara's reduction to the Brouwer fixed point theorem, via a crossing lemma for transversal paths in a rectangle and the fact that every component has the curve as its boundary, together with a farthest-pair…
Comments and reviews
No comments yet.
API
curl /api/v1/records/palomar/PALOMAR-2026-08-19-000001
curl -X POST /api/v1/records/palomar/PALOMAR-2026-08-19-000001/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-08-19-000001/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"body": "…", "review": true}'