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Date: 11-2-2016
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Date: 17-11-2021
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Date: 15-9-2021
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Let be a tree defined on a metric over a set of paths such that the distance between paths
and
is
, where
is the number of nodes shared by
and
. Let
be a Borel set of paths in the topology induced by this metric. Suppose two players play a game by choosing a path down the tree, so that they alternate and each time choose an immediate successor of the previously chosen point. The first player wins if the chosen path is in
. Then one of the players has a winning strategy in this game.
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