Full paper in PDF:
$% J. M. Montesinos-Amilibia, Uncountably many wild knots whose cyclic branched covering are S3, Rev. Mat. Complut. 16 (2003), 329–344.%$

Uncountably Many Wild Knots Whose Cyclic Branched Covering Are S3

José María MONTESINOS-AMILIBIA
Facultad de Ciencias Matemáticas
Universidad Complutense de Madrid
28040 Madrid — Spain
montesin@mat.ucm.es

Received: February 21, 2002
 Accepted: May 8, 2002
Dedicado a Francisco González Acuña
en su sexagésimo cumpleaños
ABSTRACT

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.

Key words: decomposition, wild knot, branched covering.
2000 Mathematics Subject Classification: 57M30, 57M12, 54B15.