Dynamics of elementary maps of dendrites

M. I. Voinova ; L. S. Efremova

Matematičeskie zametki, Tome 63 (1998) no. 2, pp. 183-195.

Résumé

The notion of elementary map of a dendrite into itself is introduced. Arithmetical relations between the periods of periodic points are given; the structure of $\omega$-limit sets, sets of periodic and nonwandering points is described; the topological entropy of elementary maps is shown to be equal to 0. Examples are given illustrating the differences in the entropic properties of continuous maps of dendrites with a countable set of branch points and continuous maps of their

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