Jerzy Jezierski - Publications - Bridge of Knowledge

Jerzy Jezierski

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Year 2016

Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds
Publication
- G. Graff
- J. Jezierski
- GEOMETRIAE DEDICATA - Year 2016
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...

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