arXiv:math/0604257 [math.GT]AbstractReferencesReviewsResources
Automatic continuity in homeomorphism groups of compact 2-manifolds
Published 2006-04-11Version 1
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.
Related articles: Most relevant | Search more
arXiv:2303.11227 [math.GT] (Published 2023-03-20)
The compact-open topology on the diffeomorphism or homeomorphism group of a smooth manifold without boundary is minimal in almost all dimensions
arXiv:2210.17280 [math.GT] (Published 2022-10-31)
The homeomorphism group of a surface without boundary is minimal
Homeomorphism groups of telescoping 2-manifolds are strongly distorted