Abstract
We prove that if X is a separable metric space with the Hurewicz covering property, then the Banach-Mazur game played on X is determined. The implication is not true when "Hurewicz covering property" is replaced with "Menger covering property".
| Original language | English |
|---|---|
| Pages (from-to) | 195-202 |
| Number of pages | 8 |
| Journal | Matematicki Vesnik |
| Volume | 61 |
| Issue number | 3 |
| State | Published - 2009 |
Keywords
- Baire space
- Banach-Mazur game
- First category
- Hurewicz property
- Menger property