Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball
Keywords
Least number of periodic points, Nielsen number, fixed point index, smooth mapsAbstract
Let $M$ be two-holed $3$-dimensional closed ball, $r$ a given natural number. We consider $f$, a continuous self-map of $M$ with real eigenvalues on the second homology group, and determine the minimal number of $r$-periodic points for all smooth maps homotopic to $f$.Downloads
Published
2009-03-01
How to Cite
1.
GRAFF, Grzegorz. Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball. Topological Methods in Nonlinear Analysis. Online. 1 March 2009. Vol. 33, no. 1, pp. 121 - 130. [Accessed 26 April 2024].
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