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Lefschetz periodic point free self-maps of compact manifolds
Authors:Grzegorz Graff  Agnieszka Kaczkowska  Piotr Nowak-Przygodzki  Justyna Signerska
Affiliation:1. Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland;2. Institute of Mathematics of the Polish Academy of Sciences, ul. ?niadeckich 8, 00-956 Warszawa, Poland
Abstract:Let f be a self-map of a compact connected manifold M. We characterize Lefschetz periodic point free continuous self-maps of M for several classes of manifolds and generalize the results of Guirao and Llibre [J.L.G. Guirao, J. Llibre, On the Lefschetz periodic point free continuous self-maps on connected compact manifolds, Topology Appl. 158 (16) (2011) 2165–2169].
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