English

On some modifications of the Niemytzki plane

General Topology 2025-06-03 v1

Abstract

We present a criterion that compares modifications of the Niemytzki plane. It follows that if usual tangent discs of the Niemytzki plane are replaced by triangles with bounded angles, then the resulting space is not homeomorphic to the former.

Keywords

Cite

@article{arxiv.2506.01707,
  title  = {On some modifications of the Niemytzki plane},
  author = {Wojciech Bielas},
  journal= {arXiv preprint arXiv:2506.01707},
  year   = {2025}
}