English

Namioka spaces and strongly Baire spaces

General Topology 2016-01-25 v1

Abstract

A notion of strongly Baire space is introduced. Its definition is a transfinite development of some equivalent reformulation of the Baire space definition. It is shown that every strongly Baire space is a Namioka space and every βσ\beta-\sigma-unfavorable space is a strongly Baire space.

Keywords

Cite

@article{arxiv.1601.05884,
  title  = {Namioka spaces and strongly Baire spaces},
  author = {V. V. Mykhaylyuk},
  journal= {arXiv preprint arXiv:1601.05884},
  year   = {2016}
}