English

A space with a Lusin $\pi$-base whose square has no Lusin $\pi$-base

General Topology 2018-12-11 v1

Abstract

We construct a space X{X} that has a Lusin π\pi-base and such that X2{X}^{2} has no Lusin π\pi-base.

Cite

@article{arxiv.1812.03458,
  title  = {A space with a Lusin $\pi$-base whose square has no Lusin $\pi$-base},
  author = {Mikhail Patrakeev},
  journal= {arXiv preprint arXiv:1812.03458},
  year   = {2018}
}
R2 v1 2026-06-23T06:36:34.221Z