English

Compact spaces of the first Baire class that have open finite degree

General Topology 2015-12-29 v1

Abstract

We introduce the open degree of a compact space, and we show that for every natural number n, the separable Rosenthal compact spaces of degree n have a finite basis.

Keywords

Cite

@article{arxiv.1512.08363,
  title  = {Compact spaces of the first Baire class that have open finite degree},
  author = {Antonio Avilés and Stevo Todorcevic},
  journal= {arXiv preprint arXiv:1512.08363},
  year   = {2015}
}