Stephen Jackson

activity

20172022

most citedCardinality of Wellordered Disjoint Unions of Quotients of Smooth Equivalence Relations

2 citations · 4 across the 7 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.LO2019

The Measure Game

Logan Crone, Lior Fishman, Stephen Jackson +2

We study a game first introduced by Martin (actually we use a slight variation of this game) which plays a role for measure analogous to the Banach-Mazur game for category. We firs…

math.LO2019

The Destruction of the Axiom of Determinacy by Forcings on $R$ when $Θ$ is Regular

William Chan, Stephen Jackson

$ZF + AD$ proves that for all nontrivial forcings $P$ on a wellorderable set of cardinality less than $Θ$ , $1_{P} ⊩_{P} \neg AD$ . $…

math.LO2019★ 2 cited

Cardinality of Wellordered Disjoint Unions of Quotients of Smooth Equivalence Relations

William Chan, Stephen Jackson

Assume $ZF + A D^{+} + V = L (P (R))$ . Let $\approx$ denote the relation of being in bijection. Let $κ \in ON$ and $⟨ E_{α} : α < κ ⟩$ be a se…

The Measure Game

The Destruction of the Axiom of Determinacy by Forcings on R when Θ is Regular

Cardinality of Wellordered Disjoint Unions of Quotients of Smooth Equivalence Relations

The Destruction of the Axiom of Determinacy by Forcings on $R$ when $Θ$ is Regular