Gδ -sets in topological spaces and games

doi:https://doi.org/10.4064/fm-153-1-41-58

Open AccessArticle10.4064/fm-153-1-41-58

Gδ -sets in topological spaces and games

Winfried Just,Marion Sheepers,Juris Steprāns,Paul J. Szeptycki-1997-01-01-Fundamenta Mathematicae

TL;DRAbstract

Players ONE and TWO play the following game: In the nth inning ONE chooses a set $O_n$ from a prescribed family ℱ of subsets of a space X; TWO responds by choosing an open subset $T_n$ of X. The players must obey the rule that $O_n ⊆ O_{n+1} ⊆ T_{n+1} ⊆ T

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Players ONE and TWO play the following game: In the nth inning ONE chooses a set $O_n$ from a prescribed family ℱ of subsets of a space X; TWO responds by choosing an open subset $T_n$ of X. The players must obey the rule that $O_n ⊆ O_{n+1} ⊆ T_{n+1} ⊆ T

Keywords

MathematicsTopological spaceSpace (punctuation)Set (abstract data type)CombinatoricsOpen setDiscrete mathematicsTopology (electrical circuits)

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