Obstruction Sets, Quasi-Hyperbolicity and Linear Transversality

Acta Scientiarum Naturalium Universitatis Pekinensis

Obstruction Sets, Quasi-Hyperbolicity and Linear Transversality

WEN Lan, GAN Shaobo

School of Mathematical Sciences, Peking University, Beijing, 100871

Received:2005-11-01 Online:2006-01-20 Published:2006-01-20

阻碍集、拟双曲性与线性横截性

文兰,甘少波

北京大学数学科学学院，北京，100871，E－mail: lwen@math.pku.edu.cn, gansb@math.pku.edu.cn

Abstract

Abstract: The authors give a quick account for the theory of quasi-hyperbolicity and linear transversality, due independently to Mañé, 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.

Key words: obstruction set, quasi-hyperbolicity, linear transversality, signalling, routing

摘要： 对Mañé、Sacker-Sell、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。

关键词: 阻碍集, 拟双曲性, 线性横截性

CLC Number:

O193

WEN Lan,GAN Shaobo. Obstruction Sets, Quasi-Hyperbolicity and Linear Transversality[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

文兰,甘少波. 阻碍集、拟双曲性与线性横截性[J]. 北京大学学报（自然科学版）.

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URL: https://xbna.pku.edu.cn/EN/

https://xbna.pku.edu.cn/EN/Y2006/V42/I1/1

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