Open AccessUncountably many wild knots whose cyclic branched covering are S3
Author(s) -
José María Montesinos Amilibia
Publication year - 2003
Publication title -
revista matemática complutense
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.093
H-Index - 24
eISSN - 1696-8220
pISSN - 1139-1138
DOI - 10.5209/rev_rema.2003.v16.n1.16888
Subject(s) - uncountable set , mathematics , combinatorics , boundary (topology) , set (abstract data type) , cantor set , mathematical analysis , computer science , countable set , programming language
There is a disk in S3whose 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