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pro vyhledávání: '"Cox, Sean"'
We strengthen a result of Bagaria and Magidor~\cite{MR3152715} about the relationship between large cardinals and torsion classes of abelian groups, and prove that (1) the \emph{Maximum Deconstructibility} principle introduced in \cite{Cox_MaxDecon}
Externí odkaz:
http://arxiv.org/abs/2406.02829
Autor:
Cox, Sean
\emph{Approximation Theory} uses nicely-behaved subcategories to understand entire categories, just as projective modules are used to approximate arbitrary modules in classical homological algebra. We use set-theoretic \emph{elementary submodel argum
Externí odkaz:
http://arxiv.org/abs/2405.19634
We provide a new characterization of quasi-analyticity of Denjoy-Carleman classes, related to \emph{Wetzel's Problem}. We also completely resolve which Denjoy-Carleman classes carry \emph{sparse systems}: if the Continuum Hypothesis (CH) holds, \text
Externí odkaz:
http://arxiv.org/abs/2312.03238
The Spot Prawn trap fishery off the west coast of British Columbia (BC) is managed using a fixed escapement strategy that aims to prevent recruitment overfishing while maximizing expected long-term yield by closing the fishery when the catch rate of
Externí odkaz:
http://arxiv.org/abs/2301.05782
Erd\H{o}s \cite{MR168482} proved that the Continuum Hypothesis (CH) is equivalent to the existence of an uncountable family $\mathcal{F}$ of (real or complex) analytic functions, such that $\big\{ f(x) \ : \ f \in \mathcal{F} \big\}$ is countable for
Externí odkaz:
http://arxiv.org/abs/2208.13725
Autor:
Cox, Sean, Elpers, Matthew
Hardin and Taylor \cite{MR2384262} proved that any function on the reals -- even a nowhere continuous one -- can be correctly predicted, based solely on its past behavior, at almost every point in time. They showed in \cite{MR3100500} that one could
Externí odkaz:
http://arxiv.org/abs/2208.09722
Autor:
Cox, Sean, Rosický, Jiří
Publikováno v:
Rend. Mat. Univ. Padova 152 (2024), 133-144
We prove that, assuming Vop\venka's principle, every small projectivity class in a locally presentable category is accessible.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/2201.06782
Autor:
Cox, Sean, Fuchs, Gunter
A diagonal version of the strong reflection principle is introduced, along with fragments of this principle associated to arbitrary forcing classes. The relationships between the resulting principles and related principles, such as the corresponding
Externí odkaz:
http://arxiv.org/abs/2108.04400
Autor:
Cox, Sean
Salce \cite{MR565595} introduced the notion of a \emph{cotorsion pair} of classes of abelian groups, and asked whether every such pair is \emph{complete} (i.e., has enough injectives and projectives). We prove that it is consistent, relative to the c
Externí odkaz:
http://arxiv.org/abs/2103.06687
Autor:
Cox, Sean
We prove that Vop\v{e}nka's Principle implies that for every class $\mathfrak{X}$ of modules over any ring, the class of \textbf{$\boldsymbol{\mathfrak{X}}$-Gorenstein Projective modules} (\textbf{$\boldsymbol{\mathfrak{X}}$-$\boldsymbol{\mathcal{GP}
Externí odkaz:
http://arxiv.org/abs/2012.11084