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Claudio Gorodski
Claudio Gorodski
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Let \phi\in\PSL(2,R)$\phi\in PSL(2,R)$ be hyperbolic and \varphi\in\PSL(2,R)$\varphi\in PSL(2,R)$ be elliptic. Is it possible to find a local homeomorphism f:H^2\rightarrow H^2$f:H^2\rightarrow H^2$ such that f(\phi(x))=\varphi(f(x))$f(\phi(x))=\varphi(f(x))$ for all x\in H^2 $x\in H^2$ ?. I do not think so, but am unable to prove it.

Let \phi\in\PSL(2,R) be hyperbolic and \varphi\in\PSL(2,R) be elliptic. Is it possible to find a local homeomorphism f:H^2\rightarrow H^2 such that f(\phi(x))=\varphi(f(x)) for all x\in H^2 ?. I do not think so, but am unable to prove it.

Let $\phi\in PSL(2,R)$ be hyperbolic and $\varphi\in PSL(2,R)$ be elliptic. Is it possible to find a local homeomorphism $f:H^2\rightarrow H^2$ such that $f(\phi(x))=\varphi(f(x))$ for all $x\in H^2$ ? I do not think so, but am unable to prove it.

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Dan Gallo
Dan Gallo
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Structures on open surfaces

Let \phi\in\PSL(2,R) be hyperbolic and \varphi\in\PSL(2,R) be elliptic. Is it possible to find a local homeomorphism f:H^2\rightarrow H^2 such that f(\phi(x))=\varphi(f(x)) for all x\in H^2 ?. I do not think so, but am unable to prove it.