Given a knot K we describe a modification of K which leaves the double branched cover of S 3 branched along K unchanged. We then modify certain pretzel knots in this way to produce arbitrarily large families of distinct knots having the property that all of the associated double branched covers are homeomorphic.
No takes yet. Share an insight, caveat, or question.
Richard Bedient (1984) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: