1 citations · 3 across the 15 of their papers we have counts for
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Geology of symmetric grounds
Toshimichi Usuba
Let us say that a model of is a symmetric ground if is a symmetric extension of the model. In this paper, we investigate set-theoretic geology of symmetric ground…
Choiceless Löwenheim-Skolem property and uniform definability of grounds
Toshimichi Usuba
In this paper, without the axiom of choice, we show that if a certain downward Löwenheim-Skolem property holds then all grounds are uniformly definable. We also prove that the axio…
A note on the tightness of -modifications
Toshimichi Usuba
We construct a normal countably tight space with . This is an answer to the question posed by Dow-Juhász-Soukup-Szentmiklóssy-Weiss. We also show that if the…
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.