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Homotopy theory, homological algebra, algebraic treatments of manifolds.

11 votes

Eversion of the 6-sphere in 7-space

(That's my first post on mathoverflow. Henceforth and unfortunately I am not allowed to post comments (this needs reputation 50), so part of the present post in the answer box would better fit in the …
Arnaud Chéritat's user avatar
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 …
Arnaud Chéritat's user avatar
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 …
Arnaud Chéritat's user avatar