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PERIODS, LEFSCHETZ NUMBERS AND ENTROPY FOR A CLASS OF MAPS ON A BOUQUET OF CIRCLES

By Jaume Llibre and Michael Todd

Abstract

Abstract. We consider some smooth maps on a bouquet of circles. For these maps we can compute the number of fixed points, the existence of periodic points and an exact formula for topological entropy. We use Lefschetz fixed point theory and actions of our maps on both the fundamental group and the first homology group

Year: 2015
OAI identifier: oai:CiteSeerX.psu:10.1.1.515.3759
Provided by: CiteSeerX
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