English

Dispersion points and rational curves

General Topology 2022-01-31 v8

Abstract

We construct two connected plane sets which can be embedded into rational curves. The first is a biconnected set with a dispersion point. It answers a question of Joachim Grispolakis. The second is indecomposable. Both examples are completely metrizable.

Keywords

Cite

@article{arxiv.1904.04463,
  title  = {Dispersion points and rational curves},
  author = {David Sumner Lipham},
  journal= {arXiv preprint arXiv:1904.04463},
  year   = {2022}
}

Comments

10 pages

R2 v1 2026-06-23T08:33:46.487Z