The Dennes Room

Event Detail

Fri May 6, 2016
60 Evans Hall, 4–6 PM
Logic Colloquium
Omer Ben Neria (UCLA)
The distance between HOD and V

The pursuit of better understanding of the universe of set theory V motivated an extensive study of definable inner models M whose goal is to serve as good approximations to V. A common property of these inner models is that they are contained in HOD, the universe of hereditarily ordinal definable sets. Motivated by the question of how “close” HOD is to V, we consider various related forcing methods and survey known and new results. This is a joint work with Spencer Unger.