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

Banakh, Taras; Nowak, Magdalena

doi:10.1090/S0002-9939-2012-11737-X

A 1-dimensional Peano continuum which is not an IFS attractor
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by Taras Banakh and Magdalena Nowak PDF

Proc. Amer. Math. Soc. 141 (2013), 931-935 Request permission

Abstract:

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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