A 1-dimensional Peano continuum which is not an IFS attractor

arxiv: 1107.3804 · v1 · pith:HLWTC4QBnew · submitted 2011-07-19 · 🧮 math.GN · math.MG

Taras Banakh , Magdalena Nowak This is my paper

classification 🧮 math.GN math.MG

keywords attractorcontinuumdimensionalpeanoansweringconstructexamplehata

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Answering an old question of M.Hata, we construct an example of a 1-dimensional Peano continuum which is not homeomorphic to an attractor of IFS.

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