English

Cardinal Invariants for the $G_\delta$ topology

General Topology 2017-07-18 v1

Abstract

We prove upper bounds for the spread, the Lindel\"of number and the weak Lindel\"of number of the GδG_\delta-topology on a topological space and apply a few of our bounds to give a short proof to a recent result of Juh\'asz and van Mill regarding the cardinality of a σ\sigma-countably tight homogeneous compactum.

Keywords

Cite

@article{arxiv.1707.04871,
  title  = {Cardinal Invariants for the $G_\delta$ topology},
  author = {Angelo Bella and Santi Spadaro},
  journal= {arXiv preprint arXiv:1707.04871},
  year   = {2017}
}