Uncountably many wild knots whose cyclic branched covering are S3

• Autores: José María Montesinos Amilibia
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 16, Nº 1, 2003, págs. 329-344
• Idioma: inglés
• DOI: 10.5209/rev_rema.2003.v16.n1.16888
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• Resumen

  • There is a disk in S3 whose interior is PL embedded and whose boundary has a tame Cantor set of locally wild points, such that the n-fold cyclic coverings of S3 branched over the boundary of the disk are all S3. An uncountable set of inequivalent wild knots with these properties is exhibited.