On self-intersections of immersed surfaces-Reference-Cited by-同舟云学术

On self-intersections of immersed surfaces

Published:1998 Issue:12 Volume:126 Page:3721-3726
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Li Gui-Song

Abstract

A daisy graph is a union of immersed circles in 3-space which intersect only at the triple points. It is shown that a daisy graph can always be realized as the self-intersection set of an immersed closed surface in 3-space and the surface may be chosen to be orientable if and only if the daisy graph has an even number of edges on each immersed circle.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-12/S0002-9939-98-04456-6/S0002-9939-98-04456-6.pdf

Reference12 articles.

1. Triple points and surgery of immersed surfaces;Banchoff, Thomas F.;Proc. Amer. Math. Soc.,1974

2. Extending immersions of curves to properly immersed surfaces;Carter, J. Scott;Topology Appl.,1991

3. Series on Knots and Everything;Carter, J. Scott,1995

4. Triple points of immersed surfaces in three-dimensional manifolds;Ko, Ki Hyoung;Topology Appl.,1989

5. [5] J. S. Carter and M. Saito, Surfaces in 3-space that do not lift to embeddings, to appear in Proceedings of Warsaw workshop on knot theory, 1995.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The intersection graph of an orientable generic surface;Algebraic & Geometric Topology;2017-07-17

2. Dissecting the 2-sphere by immersions;Geometriae Dedicata;2007-06-19

3. Alexander numbering of knotted surface diagrams;Proceedings of the American Mathematical Society;2000-06-07