Nam Trang

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20162026

most citedDeterminacy from strong compactness of

ω_{1}

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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…

math.LO2016

On a class of maximality principles

Daisuke Ikegami, Nam Trang

We study various classes of maximality principles, $MP (κ, Γ)$ , introduced by J.D. Hamkins, where $Γ$ defines a class of forcing posets and $κ$ is a cardinal. We explore the con…

Determinacy from strong compactness of ω1​

On a class of maximality principles

Determinacy from strong compactness of $ω_{1}$