Geodesic
The dynamics of monotone maps of dendrites
Sbornik. Mathematics, Tome 192 (2001) no. 6, pp. 807-821

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Monotone maps of dendrites with a countable closed set of branch points of finite order are studied. The structure of $\omega$-limit sets and of periodic and non-wandering sets is established, and it is proved that the topological entropy of monotone maps is equal to zero. It is shown that monotone maps of dendrites with a non-closed set of branch points of finite order may have properties different from those of the maps considered here. 
@article{SM_2001_192_6_a1,
     author = {L. S. Efremova and E. N. Makhrova},
     title = {The dynamics of monotone maps of dendrites},
     journal = {Sbornik. Mathematics},
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     volume = {192},
     number = {6},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2001_192_6_a1/}
}
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L. S. Efremova; E. N. Makhrova. The dynamics of monotone maps of dendrites. Sbornik. Mathematics, Tome 192 (2001) no. 6, pp. 807-821. http://geodesic.mathdoc.fr/item/SM_2001_192_6_a1/