Triangulations of surfaces with boundary and the homotopy principle for functions without critical points

被引：9

作者：

Burman, YM ^{[1
]}

机构：

[1] Independent Univ Moscow, Math Coll, Moscow, Russia

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 1999年 / 17卷 / 03期

关键词：

flip equivalence; homotopy principle; triangulations;

D O I：

10.1023/A:1006556632099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider triangulations of surfaces with boundary and marked points. These triangulations are classified with respect to flip equivalence. The results obtained are applied to the homotopy classification of functions without critical points on 2-manifolds. It is shown that the set of such functions satisfies the one-parametric h-principle.

引用

页码：221 / 238

页数：18