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

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.

4 pages, 2 figures

Cited by in corpus (4)

• Counterexamples for IFS-attractors
• Detecting topological and Banach fractals among zero-dimensional spaces
• Peano continua with self regenerating fractals
• Valuation theory, generalized IFS attractors and fractals