English

Open images of spaces with a Lusin $\pi$-base

General Topology 2023-12-15 v1

Abstract

In [5] we studied spaces with a Lusin π\pi-base and π\pi-spaces and posed the following question: Does the class of continuous open images of spaces with a Lusin π\pi-base equal the class of continuous open images of π\pi-spaces? We give a negative answer to this question.

Keywords

Cite

@article{arxiv.2312.08686,
  title  = {Open images of spaces with a Lusin $\pi$-base},
  author = {Mikhail Patrakeev and Vlad Smolin},
  journal= {arXiv preprint arXiv:2312.08686},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2208.06288