Silver Measurability and its Relation to other Regularity Properties
Jörg Brendle, Lorenz Halbeisen, Benedikt Löwe

Abstract:
A set of reals is called Silver measurable, also known as completely
doughnut, if for every doughnut there is a subdoughnut which is
contained or disjoint from the given set. In this paper, we
investigate the Silver measurability of sets on the second level of
the projective hierarchy and compare it to other regularity properties
like the Baire and the Ramsey property and Miller and Sacks
measurability.


Keywords: Silver measurability, doughnut property, Silver forcing,
Baire property, Ramsey property, Miller measurability, Sacks
measurability