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Título:
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On knots that are universal
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Autores:
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Montesinos Amilibia, José María ;
Hilden, Hugh Michael ;
Lozano Imízcoz, María Teresa
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 1985
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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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Tipo = Artículo
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Resumen:
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The authors construct a cover S3?S3 branched over the "figure eight" knot with preimage the "roman link" and a cover S3?S3 branched over the roman link with preimage containing the Borromean rings L. Since L is universal (i.e. every closed, orientable 3-manifold can be represented as a covering of S3 branched over L) it follows that the "figure eight'' knot is universal, thereby answering a question of Thurston in the affirmative. More generally, it is shown that every rational knot or link which is not toroidal is universal
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En línea:
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https://eprints.ucm.es/id/eprint/17185/1/Montesinos11.pdf
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