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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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ELEMENTARY DISKS IN TRUNCATED TRIANGULATIONS

Elementary disks in truncated triangulations

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, College of Natural Sciences, Chosun University)

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

참고문헌

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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. .

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

한국수학교육학회지시리즈B:순수및응용수학