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Results tagged with surfaces
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user 1822
A surface is a two-dimensional topological manifold. The term can also be used to describe a smooth surface, depending on the context.
5
votes
Accepted
Isotopy of periodic homeomorphisms of a surface along periodic homeomorphisms
See
Bonahon, Francis, Cobordism of automorphisms of surfaces, Ann. Sci. Éc. Norm. Supér. (4) 16, 237-270 (1983). ZBL0535.57016. …
- 3,376
3
votes
$G$-action on the integral homology of a compact surface
This answer complements Oscar Randal-Williams's. First of all, if $G=\mathbb{Z}/p$ acts freely and orientation-preservingly on a closed orientable surface $S$ then $H_{1}(S) =\mathbb{Z}^{2}\oplus (\ma …
- 3,376
12
votes
Accepted
Maximal degree of a map between orientable surfaces
See
Skora, Richard, The degree of a map between surfaces, Math. Ann. 276(1987), no.3, 415–423.
He careful handles the cases when the surfaces are not necessarily orientable, using absolute degree. …
- 3,376