English

On winning strategies for Banach-Mazur games

General Topology 2018-06-12 v2

Abstract

We give topological and game theoretic definitions and theorems nec- essary for defining a Banach-Mazur game, and apply these definitions to formalize the game. We then state and prove two theorems which give necessary conditions for existence of winning strategies for players in a Banach-Mazur game.

Keywords

Cite

@article{arxiv.1710.02229,
  title  = {On winning strategies for Banach-Mazur games},
  author = {Anumat Srivastava},
  journal= {arXiv preprint arXiv:1710.02229},
  year   = {2018}
}