Automatic continuity in homeomorphism groups of compact 2-manifolds

Details Automatic continuity in homeomorphism groups of compact 2-manifolds Automatic continuity in homeomorphism groups of compact 2-manifolds

2006-04-11

arxiv.org/abs/math/0604257v1

Mathematics

Geometric Topology

Scientific paper

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.

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