Electronic Version 17 (1992), 215-231

Marion Scheepers

Player ONE chooses a meager set and TWO, a nowhere dense set per inning. They play \omega innings. ONE's consecutive choices must form a (weakly) increasing sequence. TWO wins if the union of the chosen nowhere dense sets covers the union of the chosen meager sets. A strategy of TWO which depends on knowing only the uncovered part of the most recently chosen meager set is said to be a remainder strategy. TWO has a winning remainder strategy for this game played on the real line with its usual topology.

• AtlasImage format
• DVI file
• PostScript file

volume 17: table of contents
topology proceedings Electronic Version