Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Trang, Nam"'
Autor:
Ikegami, Daisuke, Trang, Nam
We show that assuming $\mathsf{ZF}+\mathsf{AD}^+ +$ "$V = \mathrm{L} \bigl(\wp (\mathbb{R})\bigr)$", any poset which increases $\Theta$ does not preserve the truth of $\mathsf{AD}$. We also show that in $\mathsf{ZF} + \mathsf{AD}$, any non-trivial po
Externí odkaz:
http://arxiv.org/abs/2304.00449
Autor:
Steel, John, Trang, Nam
In this paper, we prove a fine condensation theorem. This is quite similar to condensation theorems for pure extender mice in the literature, except that condensation for iteration strategies has been added to the mix.
Externí odkaz:
http://arxiv.org/abs/2207.03559
Autor:
Sargsyan, Grigor, Trang, Nam
We develop the basic fine structure theory of the minimal model of the Largest Suslin Axiom. In particular, we prove that that the minimal model of the Largest Suslin Axiom satisfies the Mouse Set Conjecture, and that the Proper Forcing Axiom implies
Externí odkaz:
http://arxiv.org/abs/2112.04396
We show that the following two theories are equiconsistent: (T) ZFC, CH and "There is a dense ideal on the first uncountable cardinal such that if j is the generic embedding associated with it then its restriction on ordinals is independent of the ge
Externí odkaz:
http://arxiv.org/abs/2111.06220
Autor:
Sargsyan, Grigor, Trang, Nam
We obtain sealing by forcing over a self-iterable model. The proof is fine-structure free and uses only basic ideas from iteration theory. We believe that such fine-structure free proofs will make the subject more accessible to the general set theore
Externí odkaz:
http://arxiv.org/abs/2110.06312
Autor:
Sargsyan, Grigor, Trang, Nam
A set of reals is \textit{universally Baire} if all of its continuous preimages in topological spaces have the Baire property. $\sf{Sealing}$ is a type of generic absoluteness condition introduced by Woodin that asserts in strong terms that the theor
Externí odkaz:
http://arxiv.org/abs/2110.02725
Autor:
Ikegami, Daisuke, Trang, Nam
This paper studies structural consequences of supercompactness of $\omega_1$ under $\sf{ZF}$. We show that the Axiom of Dependent Choice $(\sf{DC})$ follows from "$\omega_1$ is supercompact". "$\omega_1$ is supercompact" also implies that $\sf{AD}^+$
Externí odkaz:
http://arxiv.org/abs/1904.01815
Autor:
SARGSYAN, GRIGOR, TRANG, NAM
Publikováno v:
The Bulletin of Symbolic Logic, 2021 Sep 01. 27(3), 254-266.
Externí odkaz:
https://www.jstor.org/stable/27084662
Publikováno v:
Journal of the American Mathematical Society; 2024, Vol. 37 Issue 4, p1203-1273, 71p
Akademický článek
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