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mccorvie/classification-of-surfaces

Ryan McCorvie, Jack McCarthy

Palomar Registrypalomar/PALOMAR-2026-08-29-000011Aug 29, 2026math.GTscore 0

A Lean 4 formalization of the classification theorem for compact connected topological 2-manifolds, including surfaces with boundary. The main theorem proves that every compact connected Hausdorff 2-manifold modeled on the Euclidean half-plane is homeomorphic to the sphere, an orientable canonical quotient surface, or a non-orientable canonical quotient surface. The submitted theorem is the exact statement of the Lean Eval `topological_classification_of_surfaces` challenge.

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