Acta Scientiarum Naturalium Universitatis Pekinensis

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Obstruction Sets, Quasi-Hyperbolicity and Linear Transversality

WEN Lan, GAN Shaobo   

  1. 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   

  1. 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: 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

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