Zobrazeno 1 - 10
of 1 599
pro vyhledávání: '"LARSON, PAUL"'
We produce, relative to a ${\sf ZFC}$ model with a supercompact cardinal, a ${\sf ZFC}$ model of the Proper Forcing Axiom in which the nonstationary ideal on $\omega_1$ is $\Pi_1$-definable in a parameter from $H_{\aleph_2}$.
Externí odkaz:
http://arxiv.org/abs/2310.13784
Autor:
Larson, Paul Harris
Doctor of Philosophy
Department of History
Donald J. Mrozek
The United States Army activated the Aeronautical Division, United States Signal Corps, on August 1, 1907. The men of the Aeronautical Division faced hardships and challenges
Department of History
Donald J. Mrozek
The United States Army activated the Aeronautical Division, United States Signal Corps, on August 1, 1907. The men of the Aeronautical Division faced hardships and challenges
Externí odkaz:
http://hdl.handle.net/2097/34567
We prove a strong dichotomy result for countably-infinite oriented graphs; that is, we prove that for all countably-infinite oriented graphs $G$, either (i) there is a countably-infinite tournament $K$ such that $G\not\subseteq K$, or (ii) every coun
Externí odkaz:
http://arxiv.org/abs/2301.04636
We show that under $\BMM$ and "there exists a Woodin cardinal$"$, the nonstationary ideal on $\omega_1$ can not be defined by a $\Sigma_1$ formula with parameter $A \subset \omega_1$. We show that the same conclusion holds under the assumption of Woo
Externí odkaz:
http://arxiv.org/abs/2208.05288