COMPACTNESS OF AND STRONG AXIOMS OF DETERMINACY - N. Trang, Structure theory ofand its applications.Journal of Symbolic Logic, vol. 80 (2015), no. 1, pp. 29-55. - N. Trang, Supercompactness can be equiconsistent with measurability. Notre Dame Journal of Formal Logic, vol. 62 (2021), no. 4, pp. 593-618. - N. Trang and T. Wilson, Determinacy from strong compactness of . Annals of Pure and Applied Logic, vol. 172 (2021), no. 6, Article no. 102944, 30pp. - D. Ikegami and N. Trang, On supercompactness of $ omega _1$, Advances in Mathematical Logic (T. Arai, M. Kikuchi, S. Kuroda, M. Okada, T. Yorioka, editors), Springer, Proceedings Mathematics & Statistics, Singapore, 369, 2021, pp. 27-45. - Takehiko Gappo (Bull. Symb. Log., 2024)

On ω-strongly measurable cardinals in ℙmax extensions. - Navin Aksornthong; Takehiko Gappo; James Holland; Grigor Sargsyan (J. Math. Log., 2025)