Partially Periodic Point Free Self–maps on Graphs, Surfaces and Other Spaces Jaume Llibre and Victor F. Sirvent
نویسندگان
چکیده
Let (X, f) be a topological dynamical system. We say that it is partially periodic point free up to period n, if f does not have periodic points of periods smaller than n + 1. When X is a compact connected surface, a connected compact graph, or S ∨ S ∨ · · · ∨ S, we give conditions on X, so that there exist partially periodic point free maps up to period n. We also introduce the notion of a Lefschetz partially periodic point free map up period n. This is a weaker concept than partially periodic point free up period n. We characterize the Lefschetz partially periodic point free self–maps for the manifolds S× k · · · ×S, S × S with n ̸= m, CP , HP n and OP .
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