Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12128/11064| Title: | The Banach–Mazur game and domain theory |
| Authors: | Bąk, Judyta Kucharski, Andrzej |
| Keywords: | Weakly α-favorable space; Banach–Mazur game; Choquet game; Continuous directed complete partial order; Domain representable space |
| Issue Date: | 10-Jul-2019 |
| Citation: | Archiv der Mathematik, 10 July 2019 |
| Abstract: | We prove that player α has a winning strategy in the Banach–Mazur game on a space X if and only if X is F-Y countably π-domain representable. We show that Choquet complete spaces are F-Y countably domain representable. We give an example of a space, which is F-Y countably domain representable, but which is not F-Y π-domain representable. |
| URI: | http://hdl.handle.net/20.500.12128/11064 |
| DOI: | 10.1007/s00013-019-01370-1 |
| ISSN: | 0003-889X 1420-8938 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Bak_The_Banach_Mazur_game_and_domain.pdf | 449,56 kB | Adobe PDF | View/Open |
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