Title: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="bold">L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> with determinacy satisfies the Suslin hypothesis
Abstract: The Suslin hypothesis states that there are no nonseparable complete dense linear orderings without endpoints which have the countable chain condition. ZF + A D + + V = L ( P ( R ) ) proves the Suslin hypothesis. In particular, if L ( R ) ⊨ AD , then L ( R ) satisfies the Suslin hypothesis, which answers a question of Foreman.