Find a subgroup \[ \Gamma\subseteq\operatorname{Aut}(\mathbb R^2) \] such that \[ \mathbb R^2/\Gamma \] is homeomorphic to the Klein bottle.
Realize the Klein bottle as a quotient of the plane
P-QUAL-REVIEW-HATCHER-11
- Area
- Topology
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- draft
P-QUAL-REVIEW-HATCHER-11
Find a subgroup \[ \Gamma\subseteq\operatorname{Aut}(\mathbb R^2) \] such that \[ \mathbb R^2/\Gamma \] is homeomorphic to the Klein bottle.