Canceling branch points and cusps on projections of knotted surfaces in 4-space-Reference-Cited by-同舟云学术

Canceling branch points and cusps on projections of knotted surfaces in 4-space

Published:2004-05-21 Issue:10 Volume:132 Page:3097-3101
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Saeki Osamu,Takeda Yasushi

Abstract

For a knotted surface in 4 4 -space, its generic projection into 3 3 -space has branch points as its singularities, and its successive projection into 2 2 -space has fold points and cusps as its singularities. In this paper, we show that for non-orientable knotted surfaces, the numbers of branch points and cusps can be minimized by isotopy.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-10/S0002-9939-04-07487-8/S0002-9939-04-07487-8.pdf

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