Formulas for the Reidemeister, Lefschetz and Nielsen coincidence number of maps between infra-nilmanifolds-Reference-Cited by-同舟云学术

Formulas for the Reidemeister, Lefschetz and Nielsen coincidence number of maps between infra-nilmanifolds

Published:2012-03-14 Issue:1 Volume:2012 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Ha Ku Yong,Lee Jong Bum,Penninckx Pieter

Abstract

Abstract We prove practical formulas for the Reidemeister coincidence number, the Lefschetz coincidence number and the Nielsen coincidence number of continuous maps between oriented infra-nilmanifolds of equal dimension. In order to obtain these formulas, we use the averaging formulas for the Lefschetz coincidence number and for the Nielsen coincidence number and we develop an averaging formula for the Reidemeister coincidence number. We also give a simple proof of the averaging formula for the Lefschetz coincidence number. Mathematics Subject Classification 2000: 55M20; 57S30.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2012-39.pdf

Reference30 articles.

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