Affiliation:
1. Mathematics Department, University of Durham, South Road, Durham DH1 3LE, England
Abstract
It has long been known that in high dimensions tbere are examples of irreducible knots which are not prime. Here we show that in fact there are no prime simple knots in high dimensions, with the possible exception of those whose homology is finite. In particular, the result holds for all simple (2q - 1)-knots, q > 1.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory