Structure of dendrites admitting an existence of arc horseshoe
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2015), pp. 64-74

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We say that a dendrite $X$ admits an existence of an arc horseshoe if for any continuous map $f$ of $X$ into itself which has a horseshoe $(A,B)$ one can find a natural number $n$ such that $n$-th iteration of $f$ has an arc horseshoe. We investigate the structure of dendrites admitting the existence of an arc horseshoe.
Mots-clés : dendrite
Keywords: horseshoe, arc horseshoe.
@article{IVM_2015_8_a5,
     author = {E. N. Makhrova},
     title = {Structure of dendrites admitting an existence of arc horseshoe},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {64--74},
     publisher = {mathdoc},
     number = {8},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_8_a5/}
}
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E. N. Makhrova. Structure of dendrites admitting an existence of arc horseshoe. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2015), pp. 64-74. http://geodesic.mathdoc.fr/item/IVM_2015_8_a5/