Search results for: perioidic points

• Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simply-connected manifolds of dimension 8 and homology groups with the sum of ranks less or equal to 10

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  • G. Graff
  • A. Myszkowski

  An important problem in periodic point theory is minimization of the number of periodic points with periods <= r in a given class of self-maps of a space. A closed smooth and simply-connected manifolds of dimension 8 and its self-maps f  with periodic sequence of Lefschetz numbers are considered. The topological invariant Jr[f] is equal to the minimal...