Elena Nikolaevna Makhrova
Abstract
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.
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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.
Key concepts: Horseshoe (symbol), Arc (geometry), Mathematics, Horseshoe crab, Dendrite (mathematics), Geometry, Combinatorics, Geology