阻碍集、拟双曲性与线性横截性

Obstruction Sets, Quasi-Hyperbolicity and Linear Transversality

对Mane′、SackerSell、Selgrade的拟双曲性线性横截性理论做一整理,提供一种较简洁的处理方式。最后一节解释这一理论如何对应于廖山涛先生的文章《阻碍集(Ⅰ)》,因而本文也可视为对《阻碍集(Ⅰ)》的一个解说。

The authors give a quick aecount for the theory of quasi-hyperbolieity and linear transversality, due independently to Mined,Sacker-Sell,and Selgrade. In the last section the authors explain the correspondence between this theory and the obstruction sets theory of Liao. In fact this account serves also as an illustration of Liao＇s theory.