Nonfibered knots and representation shifts

• Autorzy: Daniel S. Silver , Susan G. Williams
• Języki publikacji: EN

Abstrakty

EN

A conjecture of [swTAMS] states that a knot is nonfibered if and only if its infinite cyclic cover has uncountably many finite covers. We prove the conjecture for a class of knots that includes all knots of genus 1, using techniques from symbolic dynamics.

Kategorie tematyczne

• 37B40: Topological entropy
• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 85
• Numer: 1
• Strony: 101-107

Daty

wydano

2009

Twórcy

autor

Daniel S. Silver

• Department of Mathematics and Statistics, University of South Alabama, ILB 325, Mobile, AL 36688, U.S.A.

autor

Susan G. Williams

• Department of Mathematics and Statistics, University of South Alabama, ILB 325, Mobile, AL 36688, U.S.A.

Identyfikatory

DOI

10.4064/bc85-0-7