English

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

General Topology 2014-12-04 v1 Metric Geometry

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.

Cite

@article{arxiv.1107.3804,
  title  = {A 1-dimensional Peano continuum which is not an IFS attractor},
  author = {Taras Banakh and Magdalena Nowak},
  journal= {arXiv preprint arXiv:1107.3804},
  year   = {2014}
}

Comments

4 pages, 2 figures

R2 v1 2026-06-21T18:39:03.037Z