Projective absoluteness under Sacks forcing
D. Ikegami

Abstract:
This work is the author's Master's thesis written under the supervision of Yo Matsubara at the Graduate School of Information Sciences at Nagoya University. In the thesis, the author proves that Sigma-1-3 Sacks absoluteness is equivalent to Delta-1-2 Sacks measurability.

Keywords: forcing absoluteness;  Sacks forcing;  regularity properties;  set theory