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Topological entropy of continuous self-maps on closed surfaces. (English) Zbl 1439.37016

Summary: The objective of this work is to present sufficient conditions for having positive topological entropy for continuous self-maps defined on a closed surface by using the action of this map on the homological groups of the closed surface.

MSC:

37B40 Topological entropy
37E30 Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces
54C05 Continuous maps
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References:

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