G. Sargsyan

activity

20122026

most citedSquare principles in Pmax extensions

26 citations · 35 across the 32 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.LO2022

Forcing More DC Over the Chang Model Using the Thorn Sequence

James Holland, Grigor Sargsyan

In the context of $ZF + DC$ , we force $DC_{κ}$ for relations on $P (κ)$ for $κ < ℵ_{ω}$ over the Chang model $L (Ord^{ω})$ making so…

math.LO2022

Unreachability of Inductive-Like Pointclasses in $L (R)$

Derek Levinson, Itay Neeman, Grigor Sargsyan

Hjorth proved from $Z F + A D + D C$ that there is no sequence of distinct $Σ_{2}^{1}$ sets of length $δ_{2}^{1}$ . Sargsyan extended Hjorth's technique to show there is no sequence of distinc…

math.LO2022★ 1 cited

Suslin cardinals and cutpoints in mouse limits

Stephan Jackson, Grigor Sargsyan, John Steel

We obtain a partial result on the following conjecture. Conjecture. Let (P, Σ) be a projectum stable mouse pair, and let κbe a cardinal of V such that κ< o(M_\infty(P, Σ)); then th…

Forcing More DC Over the Chang Model Using the Thorn Sequence

Unreachability of Inductive-Like Pointclasses in L(R)

Suslin cardinals and cutpoints in mouse limits

Unreachability of Inductive-Like Pointclasses in $L (R)$