SIMPLY CONNECTED DOMAINS ON A HYPERBOLIC SURFACE

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SIMPLY CONNECTED DOMAINS ON A HYPERBOLIC SURFACE

Katsuhiko Matsuzaki-2008-01-01

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TL;DRAbstract

For such a domain in the unit disk that its images under the action of a Fuchsian group are mutually disjoint, we investigate the possibility how its boundary extends towards the unit circle.

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For such a domain in the unit disk that its images under the action of a Fuchsian group are mutually disjoint, we investigate the possibility how its boundary extends towards the unit circle.

Keywords

Disjoint setsBoundary (topology)Unit circleAction (physics)Unit (ring theory)Unit diskMathematicsSurface (topology)

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