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 familiar with topological games in selection principles. 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 describing a topological 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/