Título:
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A proof of Thurston's uniformization theorem of geometric orbifolds.
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Autores:
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Matsumoto, Yukio ;
Montesinos Amilibia, José María
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Tipo de documento:
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texto impreso
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Editorial:
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Departments of Mathematics of Gakushuin University, 1991
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Topología
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Materia = Ciencias: Matemáticas: Geometría
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Tipo = Artículo
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Resumen:
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The authors prove that every geometric orbifold is good. More precisely, let X be a smooth connected manifold, and let G be a group of diffeomorphisms of X with the property that if any two elements of G agree on a nonempty open subset of X, then they coincide on X. If Q is an orbifold which is locally modelled on quotients of open subsets of X by finite subgroups of G, then the authors prove that the universal orbifold covering of Q is a (G,X)-manifold. A similar theorem was stated, and the proof sketched, in W. Thurston's lecture notes on the geometry and topology of 3-manifolds.
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En línea:
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https://eprints.ucm.es/id/eprint/22135/1/montesinos49.pdf
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