Automatic continuity in homeomorphism groups of compact 2-manifolds
Geometric Topology
2007-05-23 v1 Group Theory
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.
Cite
@article{arxiv.math/0604257,
title = {Automatic continuity in homeomorphism groups of compact 2-manifolds},
author = {Christian Rosendal},
journal= {arXiv preprint arXiv:math/0604257},
year = {2007}
}