Open Access
June 2011 On Genelarized DS-diagram and Moves
Masaharu KOUNO
Tokyo J. Math. 34(1): 165-183 (June 2011). DOI: 10.3836/tjm/1313074449

Abstract

DS-diagram and flow spine are good tools for studying 3-manifolds ([5], [8]). In this paper, we introduce the concept of generalized DS-diagram and study its properties. We define two types of moves that change generalized DS-diagrams but do not change their associated manifolds. We prove that any two generalized DS-diagrams such that their associated manifolds are homeomorphic to each other can be deformed into each other by a finite sequence of moves of the types.

Citation

Download Citation

Masaharu KOUNO. "On Genelarized DS-diagram and Moves." Tokyo J. Math. 34 (1) 165 - 183, June 2011. https://doi.org/10.3836/tjm/1313074449

Information

Published: June 2011
First available in Project Euclid: 11 August 2011

zbMATH: 1239.57006
MathSciNet: MR2866641
Digital Object Identifier: 10.3836/tjm/1313074449

Subjects:
Primary: 57M15

Rights: Copyright © 2011 Publication Committee for the Tokyo Journal of Mathematics

Vol.34 • No. 1 • June 2011
Back to Top