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Open index pairs, the fixed point index and rationality of zeta functions

Published online by Cambridge University Press:  19 September 2008

Marian Mrozek
Marian Mrozek
Affiliation:
Katedra Informatyki, Uniwersytet Jagielloński, ul. Kopernika 27, 31–501 Kraków, Poland
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 3 , September 1990 , pp. 555 - 564
Copyright
Copyright © Cambridge University Press 1990

References

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