5 citations · 16 across the 25 of their papers we have counts for
4 papers · 1 filter
Infinite games and chain conditions
Santi Spadaro
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 covers of compact spaces. More specif…
Increasing chains and discrete reflection of cardinality
Santi Spadaro
Combining ideas from two of our previous papers, we refine Arhangel'skii Theorem by proving a cardinal inequality of which this is a special case: any increasing union of strongly…
Countably compact weakly Whyburn spaces
Santi Spadaro
The weak Whyburn property is a generalization of the classical sequential property that has been studied by many authors. A space is weakly Whyburn if for every non-closed set…
Selective versions of chain condition-type properties
Leandro Aurichi, Santi Spadaro, Lyubomyr Zdomskyy
We study selective and game-theoretic versions of properties like the ccc, weak Lindelöfness and separability, giving various characterizations of them and exploring connections be…