Nam Trang

most citedDeterminacy from strong compactness of

ω_{1}

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2 papers

math.LO2023

Preservation of AD via forcings

Daisuke Ikegami, Nam Trang

We show that assuming $ZF + AD^{+} +$ " $V = L (℘ (R))$ ", any poset which increases $Θ$ does not preserve the truth of $AD$ . We…

math.LO2016★ 1 cited

Determinacy from strong compactness of $ω_{1}$

Nam Trang, Trevor Wilson

In the absence of the Axiom of Choice, the "small" cardinal $ω_{1}$ can exhibit properties more usually associated with large cardinals, such as strong compactness and supercompactne…

Preservation of AD via forcings

Determinacy from strong compactness of ω1​

Determinacy from strong compactness of $ω_{1}$