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Indexed by:期刊论文

Date of Publication:2013-12-01

Journal:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Included Journals:SCIE、Scopus

Volume:141

Issue:12

Page Number:4391-4399

ISSN No.: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.