OPEN INDEX PAIRS, THE FIXED-POINT INDEX AND RATIONALITY OF ZETA-FUNCTIONS

被引：11

作者：

MROZEK, M ^{[1
]}

机构：

[1] JAGIELLONIAN UNIV,CHAIR INFORMAT,PL-31501 KRAKOW,POLAND

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1990年 / 10卷

关键词：

D O I：

10.1017/S0143385700005745

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define open index pairs of an isolated invariant set, prove their existence and compute the fixed point index of an isolating neighbourhood in terms of the Lefschetz number of a certain map associated with the open index pair. We use this to establish rationality of zeta functions and Lefschetz zeta functions. © 1990, Cambridge University Press. All rights reserved.

引用

页码：555 / 564

页数：10

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