Itay Neeman

Abstract:

We construct coverings which
unravel ${\mathbf\Pi}^1_1$

sets. This in turn is used
to prove, from optimal large

cardinal assumptions, the
determinacy of games with

${\cal A}{\mathbf\Pi}^1_1$
payoff and the determinacy

of games with payoff in the
$\sigma$ algebra generated

by ${\mathbf\Pi}^1_1$ sets.