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Results tagged with gn.general-topology
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user 58307
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
10
votes
2
answers
431
views
Group of surface homeomorphisms is locally path-connected
I think the following is true and I need a reference for the proof. (Given a closed surface $S$, i.e. a compact 2-dimensional topological manifold (without boundary), we endow $S$ with a distance gene …
- 1,517
4
votes
Group of surface homeomorphisms is locally path-connected
In the particular case of surfaces, I found the following reference which includes a proof that is not too complicated: Regular Mappings and the Space of Homeomorphisms on 2-Manifolds by Hamstrom and …
- 1,517