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Automatic continuity in homeomorphism groups of compact 2-manifolds

Research paper by Christian Rosendal

Indexed on: 11 Apr '06Published on: 11 Apr '06Published in: Mathematics - Geometric Topology



Abstract

We 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.