Geodesic
The existence of a~linear horseshoe of continuous maps of dendrites
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2013), pp. 40-46

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Assume that a continuous map $f$ defined on a dendrite $X$ has a horseshoe $(A,B)$, where $A$ and $B$ are nonempty disjoint subcontinua in $X$. In this paper we obtain conditions for the structure of sets $A$ and $B$ under which some iteration of $f$ has a linear horseshoe.
Mots-clés : dendrite
Keywords: horseshoe, linear horseshoe. 
@article{IVM_2013_3_a3,
     author = {E. N. Makhrova},
     title = {The existence of a~linear horseshoe of continuous maps of dendrites},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {40--46},
     publisher = {mathdoc},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_3_a3/}
}
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E. N. Makhrova. The existence of a~linear horseshoe of continuous maps of dendrites. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2013), pp. 40-46. http://geodesic.mathdoc.fr/item/IVM_2013_3_a3/