Automatic continuity in homeomorphism groups of compact 2-manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111530We show that any homomorphism from the homeomorphism group of a compact 2-manifold, with the compact-open topology, or equivalently, with the topology of uniform convergence, into a separable topological group is automatically continuous.Geometric TopologyGroup TheoryAutomatic continuity in homeomorphism groups of compact 2-manifoldstext