English

Selective strong screenability and a game

General Topology 2015-03-31 v1

Abstract

Selective versions of screenability and of strong screenability coincide in a large class of spaces. We show that the corresponding games are not equivalent in even such standard metric spaces as the closed unit interval. We identify sufficient conditions for ONE to have a winning strategy, and necessary conditions for TWO to have a winning strategy in the selective strong screenability game

Keywords

Cite

@article{arxiv.1503.08467,
  title  = {Selective strong screenability and a game},
  author = {Liljana Babinkostova and Marion Scheepers},
  journal= {arXiv preprint arXiv:1503.08467},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T09:04:59.303Z