# Topological games

I have seen in a few abstracts, as this for instance: A survey of topological games the remark that the subject Topological games has applications in other fields of mathematics. I am familier with topological games in selection pronciples. But still. I can't see the advantage in describing a situation by means of a topological game rather them by simply describe the topological properties of the space.

Does anyone have a relatively simple answer for that? What are the advantages of describibg a topologgical space by a game rather then by it's topological properties.

By, relatively simple, i mean, an answer in a level of a graduate student which is familiar with concepts of topology and set theory but is not, yet, in a research level/

Thank you!

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For example, one can prove with the help of a suitable game that if $A$ is a Borel subset of $\mathbb R$, then either $A$ is countable, or $A$ is uncountable in a strong sense, namely it contains a perfect set (a nonempty closed set without isolated points). This is the so-called "perfect set theorem" for Borel sets.