Category Archives: publications

The exact strength of the class forcing theorem

V. Gitman, J. D. Hamkins, P. Holy, P. Schlicht, and K. Williams, “The exact strength of the class forcing theorem.” (Submitted)   PDF Citation arχiv @ARTICLE{GitmanHamkinsHolySchlichtWilliams:ForcingTheorem, AUTHOR= {Victoria Gitman and Joel David Hamkins and Peter Holy and Philipp Schlicht and … Continue reading

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A model of the generic Vopěnka principle in which the ordinals are not $\Delta_2$-Mahlo

V. Gitman and J. D. Hamkins, “A model of the generic vop\v enka principle in which the ordinals are not $\Delta_2$-mahlo.” (Submitted)   PDF Citation arχiv @ARTICLE{GitmanHamkins:GVP, AUTHOR= {Victoria Gitman and Joel David Hamkins}, TITLE= {A model of the generic … Continue reading

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Virtual large cardinals

V. Gitman and R. Schindler, “Virtual large cardinals.” (Submitted)   PDF Citation @ARTICLE{GitmanSchindler:virtualCardinals, AUTHOR= {Gitman, Victoria and Schindler, Ralf}, TITLE= {Virtual large cardinals}, Note ={Submitted}, pdf={https://boolesrings.org/victoriagitman/files/2017/03/virtualLargeCardinals.pdf}, }

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Generic Vopěnka’s Principle, remarkable cardinals, and the weak Proper Forcing Axiom

J. Bagaria, V. Gitman, and R. Schindler, “Generic Vop\v enka’s Principle, remarkable cardinals, and the weak Proper Forcing Axiom,” Arch. math. logic, vol. 56, iss. 1-2, pp. 1-20, 2017.   PDF Journal MR Citation @ARTICLE{BagariaGitmanSchindler:VopenkaPrinciple, AUTHOR = {Bagaria, Joan and … Continue reading

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Mitchell order for Ramsey and Ramsey-like cardinals

E. Carmody, V. Gitman, and M. Habič, “Mitchell order for Ramsey and Ramsey-like cardinals.” (Manuscript under review)   PDF Citation @ARTICLE{CarmodyGitmanHabic:MitchellOrder, AUTHOR= {Carmody, Erin and Gitman, Victoria and Habi\v{c}, Miha}, TITLE= {Mitchell order for {R}amsey and {R}amsey-like cardinals}, Note ={Manuscript … Continue reading

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Open determinacy for class games

V. Gitman and J. D. Hamkins, “Open determinacy for class games,” in Foundations of mathematics, logic at harvard, essays in honor of hugh woodin’s 60th birthday, A. E. Caicedo, J. Cummings, P. Koellner, and P. Larson, Eds., American Mathematical Society, … Continue reading

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Ehrenfeucht’s lemma in set theory

G. Fuchs, V. Gitman, and J. D. Hamkins, “Ehrenfeucht’s lemma in set theory,” To appear in the notre dame journal of formal logic.   PDF Citation arχiv @ARTICLE{fuchsgitmanhamkins:ehrenfeuchtLemma, AUTHOR= {Gunter Fuchs and Victoria Gitman and Joel David Hamkins}, TITLE= {Ehrenfeucht’s … Continue reading

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Indestructibility properties of remarkable cardinals

Y. Cheng and V. Gitman, “Indestructibility properties of remarkable cardinals,” Arch. math. logic, vol. 54, iss. 7-8, pp. 961-984, 2015.   PDF Journal MR Citation arχiv @ARTICLE{chenggitman:IndestructibleRemarkableCardinals, AUTHOR = {Cheng, Yong and Gitman, Victoria}, TITLE = {Indestructibility properties of remarkable … Continue reading

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Incomparable $\omega_1$-like models of set theory

G. Fuchs, V. Gitman, and J. D. Hamkins, “Incomparable $\omega_1$-like models of set theory.” (To appear in {M}athematical {L}ogic {Q}uarterly)   PDF Citation arχiv @ARTICLE{fuchsgitmanhamkins:omega1models, AUTHOR= {Gunter Fuchs and Victoria Gitman and Joel David Hamkins}, TITLE= {Incomparable $\omega_1$-like models of … Continue reading

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On ground model definability

V. Gitman and T. A. Johnstone, “On ground model definability,” in Infinity, computability, and metamathematics: festschrift in honour of the 60th birthdays of peter koepke and philip welch, London, GB: College publications, 2014.   PDF Citation arχiv @INCOLLECTION{gitmanjohnstone:groundmodels, AUTHOR = … Continue reading

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