Reducing the number of periodic points in the smooth homotopy class of a selfmap of a simplyconnected manifold with periodic sequence of Lefschetz numbers
Abstract
Let f be a smooth selfmap of an mdimensional (m >3) closed connected and simplyconnected manifold such that the sequence of the Lefschetz num bers of its iterations is periodic. For a fixed natural r we wish to minimize, in the smooth homotopy class, the number of periodic points with periods less than or equal to r. The resulting number is given by a topological invariant J[f] which is defned in combinatorial terms and is constant for all suciently large r. We compute J[f] for selfmaps of some manifolds with simple structure of homology groups.
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 Category:
 Articles
 Type:
 artykuł w czasopiśmie wyróżnionym w JCR
 Published in:

Annales Polonici Mathematici
no. 107,
pages 29  48,
ISSN: 00662216  Language:
 English
 Publication year:
 2013
 Bibliographic description:
 Graff G., Kaczkowska A.: Reducing the number of periodic points in the smooth homotopy class of a selfmap of a simplyconnected manifold with periodic sequence of Lefschetz numbers// Annales Polonici Mathematici. Vol. 107, nr. 1 (2013), s.2948
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 Gdańsk University of Technology
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