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I -Lindelöf spaces.

Al-Zoubi, Khalid, Al-Nashef, Bassam (2004)

International Journal of Mathematics and Mathematical Sciences

Infinite games and chain conditions

Santi Spadaro (2016)

Fundamenta Mathematicae

We apply the theory of infinite two-person games to two well-known problems in topology: Suslin’s Problem and Arhangel’skii’s problem on the weak Lindelöf number of the G δ topology on a compact space. More specifically, we prove results of which the following two are special cases: 1) every linearly ordered topological space satisfying the game-theoretic version of the countable chain condition is separable, and 2) in every compact space satisfying the game-theoretic version of the weak Lindelöf...

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