A variation of the proximal infinite game
| Autor: | Jocelyn R. Bell |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Infinite game
Computer Science::Computer Science and Game Theory Class (set theory) Pure mathematics 010102 general mathematics ComputingMilieux_PERSONALCOMPUTING Mathematics::General Topology Variation (game tree) Space (mathematics) 01 natural sciences 010101 applied mathematics Bounded function Geometry and Topology 0101 mathematics ComputingMilieux_MISCELLANEOUS Mathematics |
| Zdroj: | Topology and its Applications. 242:43-58 |
| ISSN: | 0166-8641 |
| DOI: | 10.1016/j.topol.2018.04.013 |
| Popis: | A variation of the proximal infinite game and a class of spaces more general than the proximal spaces are introduced. If the first player has a winning strategy in this variation then the space is pseudonormal. If the second player does not have a winning strategy then the space is an Arhangel'skii α 2 space. This new version of the proximal game is used to show that a Σ-product of ω -bounded topological manifolds is pseudonormal. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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