Tunnel numbers of small knots do not go down under connected sum

DOI10.1090/S0002-9939-99-05160-6zbMath0928.57003OpenAlexW1732984409MaRDI QIDQ4700172

Jennifer Schultens, Kanji Morimoto

Publication date: 1 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05160-6

zbMATH Keywords

tunnel number

Mathematics Subject Classification ID

Related Items

Connected sums of knots and weakly reducible Heegaard splittings, Some sufficient conditions for tunnel numbers of connected sum of two knots not to go down, Small knots in some closed Haken 3-manifolds., Additive invariants for knots, links and graphs in 3-manifolds, Knots and surfaces, Critical point theory in knot complements, $3$-manifolds with planar presentations and the width of satellite knots, SCHARLEMANN-THOMPSON UNTELESCOPING OF HEEGAARD SPLITTINGS IS FINER THAN CASSON-GORDON'S, Tunnel number one knots, 𝑚-small knots and the Morimoto conjecture