query: Does anyone know an example of a local homeomorphism from the open unit disc onto itself that is not a homeomorphism?
positive_passages.docid: 24828
positive_passages.text: surjective immersion $\mathbb{R}^2 \to \mathbb{R}^2$ which is not a diffeomorphism
negative_passages.docid: 26687
negative_passages.text: Show that $f$ maps the unit circle to itself
negative_passages.docid: 30597
negative_passages.text: Morphism that is not a mapping
negative_passages.docid: 15175
negative_passages.text: When does a Möbius transformation map $\Im(z)>0$ to itself?
negative_passages.docid: 152725
negative_passages.text: Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)
negative_passages.docid: 93358
negative_passages.text: Find an example of a non-surjective field endomorphism
negative_passages.docid: 18034
negative_passages.text: Is there an equivalence relation of which the quotient topology is homeomorphic to codomain of a quotient map?
negative_passages.docid: 33140
negative_passages.text: Two non-homeomorphic spaces with continuous bijective functions in both directions
negative_passages.docid: 128780
negative_passages.text: What does "removing a point" have to do with homeomorphisms?
negative_passages.docid: 118622
negative_passages.text: Local diffeomorphism from $\mathbb R^2$ onto $S^2$
negative_passages.docid: 14322
negative_passages.text: Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$
negative_passages.docid: 70576
negative_passages.text: Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
negative_passages.docid: 48740
negative_passages.text: What is the homeomorphism between a disk and an ellipse?
negative_passages.docid: 52798
negative_passages.text: Finding counterexamples: bijective continuous functions that are not homeomorphisms
negative_passages.docid: 31479
negative_passages.text: homeomorphism of cantor set extends to the plane?
negative_passages.docid: 27757
negative_passages.text: $\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property
negative_passages.docid: 139176
negative_passages.text: The real line is not homeomorphic to any non-trivial product space