Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-12-01

Journal: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Included Journals: Scopus、SCIE

Volume: 141

Issue: 12

Page Number: 4391-4399

ISSN: 0002-9939

Key Words: Tunnel number; m-small; Morimoto Conjecture

Abstract: In the present paper, we show that the Morimoto Conjecture on the super additivity of the tunnel numbers of knots in S-3 is true for knots K-1, K-2 in S-3 in which each K-i is either a tunnel number one or m-small, i = 1, 2. This extends two known results by Morimoto.