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pro vyhledávání: '"Larson, Paul A."'
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
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
Autor:
Larson, Paul D.1 paul.larson@umanitoba.ca, Kulchitsky, Jack D.2 kulch@ucalgary.ca
Publikováno v:
International Journal of Organizational Diversity. Jun2024, Vol. 24 Issue 1, p25-44. 20p.
Autor:
Larson, Paul B., Sargsyan, Grigor
We show that the statements $\square(\omega_{3})$ and $\square(\omega_{4})$ both fail in the $\mathbb{P}_{\mathrm{max}}$ extension of a variation of the Chang model introduced by Sargsyan.
Externí odkaz:
http://arxiv.org/abs/2105.00322
Autor:
Beros, Konstantinos A.1 (AUTHOR) berosk@miamioh.edu, Larson, Paul B.1 (AUTHOR)
Publikováno v:
Archive for Mathematical Logic. May2024, Vol. 63 Issue 3/4, p325-352. 28p.
The high-pressure properties of fluorine and chlorine are not yet well understood because both are highly reactive and volatile elements, which has made conducting diamond anvil cell and x-ray diffraction experiments a challenge. Here we use ab initi
Externí odkaz:
http://arxiv.org/abs/2008.04471
Autor:
Larson, Paul B., Shelah, Saharon
We produce a forcing extension of the constructible universe $\bL$ in which every universally measurable set of reals is $\uTDelta^{1}_{2}$, partially answering question CG from David Fremlin's problem list. The analogous result for category holds in
Externí odkaz:
http://arxiv.org/abs/2005.10399
Akademický článek
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