### Recent Writing

### Mathoverflow Activity

- Comment by Victoria Gitman on Does Con(ZF + Reinhardt) really imply Con(ZFC + I0)?@Stefan For some reason, I cannot click on the link.Victoria Gitman
- Comment by Victoria Gitman on Cofinality of $j(\kappa)$ for a measurability embedding $j:V\to M$ with critical point $\kappa$@AsafKaragila I edited the question to make it clearer. Maybe I will ask your version as a follow-up if you don't ask it first :).Victoria Gitman
- Comment by Victoria Gitman on Cofinality of $j(\kappa)$ for a measurability embedding $j:V\to M$ with critical point $\kappa$@AsafKaragila I should have done a better job stating my question clearly. I wanted to know precisely what Yair answered: whether there are models where $\text{cf}(j(\kappa))$ is smaller than the size of $j(\kappa)$. Your interpretation of the question is very interesting as well, but I think much harder to answer.Victoria Gitman

- Comment by Victoria Gitman on Does Con(ZF + Reinhardt) really imply Con(ZFC + I0)?
### Cantor’s Attic

- User:OrdnialsIntroducing New pageI'm interested in transfinite numbers. This wiki is inactive for the last years so I joined.Ordnials
- File:Omega-e.pngOrdnials uploaded File:Omega-e.png Ordinals!!!!Ordnials
- IndecomposableImages ← Older revision Revision as of 19:17, 26 March 2017 (5 intermediate revisions by the same user not shown)Line 1: Line 1: −An indecomposable ordinal is an ordinal that can't be expressed as the sum of two smaller numbers.+[[File:https://upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Omega-exp-omega-labeled.svg/832px-Omega-exp-omega-labeled.svg]]An indecomposable ordinal is an ordinal that can't be expressed as the sum of two smaller […]Ordnials
- User:OrdnialsUser account Ordnials was createdOrdnials
- Madore's ψ functionValues ← Older revision Revision as of 12:02, 24 March 2017 Line 33: Line 33: Now we are introducing the Veblen function, which is explained in [[Diagonalization]]. Now we are introducing the Veblen function, which is explained in [[Diagonalization]]. −\begin{eqnarray*} \psi(\Omega^3 \varphi_5(0)) &=& \varphi_5(0) \\ \psi(\Omega^4) &=& \varphi_5(0) \\ \psi(\Omega^n) &=& \varphi_{1+n}(0) \\ \psi(\Omega^{\Gamma_0}) &=& […]Maomao

- User:Ordnials

# Category Archives: publications

## 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}, }

## 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

## 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

## 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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Tagged ${\rm GBC}$, ${\rm KM}$, class games, determinacy, J. D. Hamkins
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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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Tagged Algebraicity, Ehrenfeucht principles, Ehrenfeucht's lemma, G. Fuchs, J. D. Hamkins
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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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Tagged forcing, indestructibility, remarkable cardinals, Yong Cheng
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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

## Easton’s theorem for Ramsey and strongly Ramsey cardinals

V. Gitman and B. Cody, “Easton’s theorem for Ramsey and strongly Ramsey cardinals,” Annals of pure and applied logic, vol. 166, iss. 9, pp. 934-952, 2015. PDF Citation arχiv @ARTICLE{gitmancody:eastonramsey, AUTHOR= {Victoria Gitman and Brent Cody}, TITLE= {Easton’s theorem … Continue reading

## What is the theory ZFC without power set?

V. Gitman, J. D. Hamkins, and T. Johnstone, “What is the theory $\mathsf {ZFC}$ without power set?,” Mlq math. log. q., vol. 62, iss. 4-5, pp. 391-406, 2016. PDF Journal MR Citation arχiv @ARTICLE{zfcminus:gitmanhamkinsjohnstone, AUTHOR = {Gitman, Victoria and … Continue reading