Repozytorium publikacji - Politechnika Gdańska

Let M be a smooth compact and simply-connected manifold with simply-connected boundary ∂M, r be a fixed odd natural number. We consider f, a C1 self-map of M, preserving ∂M . Under the assumption that the dimension of M is at least 4, we define an invariant Dr(f;M,∂M) that is equal to the minimal number of r-periodic points for all maps preserving ∂M and C1-homotopic to f. As an application, we give necessary and sufficient conditions for a reduction of a set of r-periodic points to one point in the C1-homotopy class.

Autorzy

• prof. dr hab. Grzegorz Graff link otwiera się w nowej karcie ,
• Jerzy Jezierski link otwiera się w nowej karcie