Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Ribbon concordance does not imply a degree one map


Author: Katura Miyazaki
Journal: Proc. Amer. Math. Soc. 108 (1990), 1055-1058
MSC: Primary 57M25
MathSciNet review: 994781
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We give an example of classical knots $ {K_0},{K_1}$ sucn that (1) $ {K_1}$ is ribbon concordant to $ {K_0}$, (2) there are no degree one maps from the exterior of $ {K_1}$ in $ {S^3}$ to that of $ {K_0}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57M25

Retrieve articles in all journals with MSC: 57M25


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-0994781-X
Keywords: Ribbon concordance, degree one map, the ring of integers, Dedekind domain
Article copyright: © Copyright 1990 American Mathematical Society