Infinite games. Combinatorial game theory for infinite two-player games of perfect information. Infinitary aspects of common recreational games. Open games, clopen games. Determinacy. Transfinite game values. Topological games.
Infinite games, including
- Combinatorial game theory for infinite two-player games of perfect information, such as infinite chess and infinite variants of other popular games.
- Infinitary aspects of common recreational games, particularly when the associated game tree is infinite.
- Open games, clopen games.
- Determinacy.
- Transfinite game values.
- Topological games, such as Banach–Mazur game or Choquet game.