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On Bi-Lipschitz classification of fractal cubes possessing one-point intersection property

Metric Geometry 2022-07-27 v1

Abstract

We show that there are 105 isometric classes of fractal cubes of order 3 with 7 copies possessing one-point intersection property which are subdivided to 5 bi-Lipschitz classes of dendrites and 7 bi-Lipschitz classes of non-dendrites

Keywords

Cite

@article{arxiv.2207.13023,
  title  = {On Bi-Lipschitz classification of fractal cubes possessing one-point intersection property},
  author = {A. Tetenov and M. Chanchieva and D. Drozdov and D. Rahmanov and V. Safonova and I. Udin and A. Vetrova},
  journal= {arXiv preprint arXiv:2207.13023},
  year   = {2022}
}

Comments

The work was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2022-884)