English

General position theorem and its applications

Metric Geometry 2019-12-12 v1

Abstract

We introduce some general and special formulations of general position theorem for parametrized families of fractals and explain the techniques of its application to prove the existence of self-similar sets with prescribed special properties.

Keywords

Cite

@article{arxiv.1912.05466,
  title  = {General position theorem and its applications},
  author = {Vladislav Aseev and Kirill Kamalutdinov and Andrei Tetenov},
  journal= {arXiv preprint arXiv:1912.05466},
  year   = {2019}
}
R2 v1 2026-06-23T12:43:02.668Z