8th ISF

COMP031 - Study of the new topological game and consistency with the axiom of choice

Infinite game with perfect information was studied by Gale and Stewart (1953). The notations and definitions were defined, and the theorem about the determinancy of the game was studied. In our study, we extend the study on infinite game by defining a relation between games: similarity. Theorems related to similarity is also proposed. We also construct a new topological game, "Picking game" and study its properties.

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