1 citations · 2 across the 4 of their papers we have counts for
5 papers
Model Theoretic Characterizations of Large Cardinals Revisited
Will Boney, Stamatis Dimopoulos, Victoria Gitman +1
In [Bon20], model theoretic characterizations of several established large cardinal notions were given. We continue this work, by establishing such characterizations for Woodin car…
The Virtual Large Cardinal Hierarchy
Stamatis Dimopoulos, Victoria Gitman, Dan Saattrup Nielsen
We continue the study of the virtual large cardinal hierarchy by analysing virtual versions of superstrong, Woodin, and Berkeley cardinals. Gitman and Schindler showed that virtual…
Strongly compact cardinals and the continuum function
Arthur W. Apter, Stamatis Dimopoulos, Toshimichi Usuba
We study the general problem of the behaviour of the continuum function in the presence of non-supercompact strongly compact cardinals.
Woodin cardinals and forcing
Stamatis Dimopoulos
Despite being an established notion in the large cardinal hierarchy, results about Woodin cardinals are sparse in the literature. Here we gather known results about the preservatio…
Woodin for strong compactness cardinals
Stamatis Dimopoulos
We give the definition of Woodin for strong compactness cardinals, the Woodinised version of strong compactness, and we prove an analogue of Magidor's identity crisis theorem for t…