TOPOLOGICAL TRIVIALITY OF FAMILIES OF MAP GERMS FROM R3 TO R3

被引：1

作者：

Moya-Perez, J. A. ^{[1
]}

Nuno-Ballesteros, J. J. ^{[1
]}

机构：

[1] Univ Valencia, Dept Geometria & Topol, Campus Burjassot, E-46100 Burjassot, Spain

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2016年 / 46卷 / 05期

关键词：

Stable map; link; Gauss paragraph; topological triviality; POLAR MULTIPLICITIES; EQUISINGULARITY; COBORDISM;

D O I：

10.1216/RMJ-2016-46-5-1643

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a one-parameter unfolding F : (R-3 X R, 0) -> (R-3 x R, 0) of a finitely determined map germ f, with S(f) regular, is topologically trivial if it is excellent in the sense of Gaffney, and the family of the double point curves and cuspidal edges D(f(t)) boolean OR C(f(t)) is topologically trivial.

引用

页码：1643 / 1664

页数：22