activity
20182024
most citedThe consistency strength of long projective determinacy

7 citations · 8 across the 6 of their papers we have counts for

collaborators

8 papers

math.LO2024

Gödel's Program in Set Theory

Sandra Müller, Grigor Sargsyan

Gödel proved in the 1930s in his famous Incompleteness Theorems that not all statements in mathematics can be proven or disproven from the accepted ZFC axioms. A few years later he…

math.LO2020

HOD in inner models with Woodin cardinals

Sandra Müller, Grigor Sargsyan

We analyze the hereditarily ordinal definable sets in for a Turing cone of reals , where is the canonical inner model with Woodin c…

math.LO2019

Structural Properties of the Stable Core

Sy-David Friedman, Victoria Gitman, Sandra Müller

The stable core, an inner model of the form for a simply definable predicate , was introduced by the first author in [Fri12], where he showed that $…

math.LO2019

Infinite decreasing chains in the Mitchell order

Omer Ben-Neria, Sandra Müller

It is known that the behavior of the Mitchell order substantially changes at the level of rank-to-rank extenders, as it ceases to be well-founded. While the possible partial order…

math.LO2019★ 1 cited

The Axiom of Determinacy Implies Dependent Choices in Mice

Sandra Müller

We show that the Axiom of Dependent Choices, , holds in countably iterable, passive premice construced over their reals which satisfy the Axiom of…

math.LO2019★ 7 cited

The consistency strength of long projective determinacy

Juan P. Aguilera, Sandra Müller

We determine the consistency strength of determinacy for projective games of length . Our main theorem is that -determinacy for games of length imp…