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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.22 No.1

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Elementary disks in truncated triangulations

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.1, pp.91-99
https://doi.org/10.7468/jksmeb.2015.22.1.91
Kang, Ensil
Kang,, E. (2015). Elementary disks in truncated triangulations. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(1), 91-99, https://doi.org/10.7468/jksmeb.2015.22.1.91

Abstract

A normal surface is determined by how the surface under consideration meets each tetrahedron in a given triangulation. We call such a nice embedded disk, which is a component of the intersection of the surface with a tetrahedron, an elementary disk. We classify all elementary disk types in a truncated ideal triangulation.

keywords
3-manifold, normal surface, ideal triangulation

Reference

1.

Jaco, W.;Rubinstein, J.H.;. (2003). 0-efficient triangulations of 3-manifolds. J. Diff. Geom., 65, 61-168.

2.

Haken, W.;. (1961). Theorie der normal flachen. Acta Math., 105, 245-375. 10.1007/BF02559591.

3.

Kang, E.;. (2005). Normal surfaces in non-compact 3-manifolds. J. Aust. Math. Soc., 78(3), 305-321. 10.1017/S1446788700008557.

4.

Kang, E.;Rubinstein, J.H.;. (0000). Spun normal surfaces in 3-manifolds I: 1-effcient triangulations. .

5.

Tollefson, J.L.;. (1998). Normal surface Q-theory. Pacific J. Math., 183, 359-374. 10.2140/pjm.1998.183.359.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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