[FOM] Category and Measure
W.Taylor at math.canterbury.ac.nz
Mon Sep 17 20:38:37 EDT 2007
This isn't really a result in analysis, as asked for, but could be
regarded as an "application", to game theory. Namely, Mazur's game.
The two players alternately choose a closed sub-interval of the previous
interval. If the w-sequence of sub-intervals so obtained converges
to a point in some given BIG set, then B wins; otherwise A wins.
Mazur proved that if the target set was category-large, then B can
win (if he has first move). There is no similar result for measure.
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