English

Absolute $F_{\sigma\delta}$ spaces

General Topology 2018-05-31 v1

Abstract

We prove that hereditarily Lindel\"of space which is FσδF_{\sigma\delta} in some compactification is absolutely FσδF_{\sigma\delta}. In particular, this implies that any separable Banach space is absolutely FσδF_{\sigma\delta} when equipped with the weak topology.

Keywords

Cite

@article{arxiv.1703.03066,
  title  = {Absolute $F_{\sigma\delta}$ spaces},
  author = {Vojtěch Kovařík and Ondřej Kalenda},
  journal= {arXiv preprint arXiv:1703.03066},
  year   = {2018}
}
R2 v1 2026-06-22T18:40:19.049Z