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pro vyhledávání: '"Trevor M. Wilson"'
Autor:
Trevor M. Wilson
Publikováno v:
Mathematical Logic Quarterly. 66:190-194
We give a new proof of a theorem of Shelah which states that for every family of labeled trees, if the cardinality $\kappa$ of the family is much larger (in the sense of large cardinals) than the cardinality $\lambda$ of the set of labels, more preci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17fce44d2c4f7312b920bd402e13dfa9
https://doi.org/10.1002/malq.201900060
https://doi.org/10.1002/malq.201900060
Autor:
Trevor M. Wilson
Publikováno v:
The Journal of Symbolic Logic. 84:1711-1721
We consider a weak version of Schindler’s remarkable cardinals that may fail to be ${{\rm{\Sigma }}_2}$-reflecting. We show that the ${{\rm{\Sigma }}_2}$-reflecting weakly remarkable cardinals are exactly the remarkable cardinals, and that the exis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f9cb9660c11cbb2797154bb2b094d33
https://doi.org/10.1017/jsl.2018.76
https://doi.org/10.1017/jsl.2018.76
Autor:
Trevor M. Wilson
Publikováno v:
Archive for Mathematical Logic. 58:841-856
We define a generic Vopěnka cardinal to be an inaccessible cardinal $\kappa$ such that for every first-order language $\mathcal{L}$ of cardinality less than $\kappa$ and every set $\mathscr{B}$ of $\mathcal{L}$-structures, if $|\mathscr{B}| = \kappa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10753703a7adbd1252e012f3fe649b72
https://doi.org/10.1007/s00153-019-00662-1
https://doi.org/10.1007/s00153-019-00662-1
Autor:
Trevor M. Wilson
Publikováno v:
Journal of Mathematical Logic. 22
We show that Weak Vopěnka’s Principle, which is the statement that the opposite category of ordinals cannot be fully embedded into the category of graphs, is equivalent to the large cardinal principle Ord is Woodin, which says that for every class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a22fa0a5b5054e523d48db173d9da90c
https://doi.org/10.1142/s0219061321500240
https://doi.org/10.1142/s0219061321500240
Autor:
Trevor M. Wilson
Publikováno v:
The Journal of Symbolic Logic. 82:1229-1251
We prove several equivalences and relative consistency results regarding generic absoluteness beyond Woodin’s ${\left( {{\bf{\Sigma }}_1^2} \right)^{{\rm{u}}{{\rm{B}}_\lambda }}}$ generic absoluteness result for a limit of Woodin cardinals λ. In p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::187c5614c7bd0cbea87a7b3858efca5b
https://doi.org/10.1017/jsl.2017.35
https://doi.org/10.1017/jsl.2017.35
Autor:
Nam Trang, Trevor M. Wilson
Publikováno v:
Annals of Pure and Applied Logic. 172:102944
In the absence of the Axiom of Choice, the “small” cardinal ω 1 can exhibit properties more usually associated with large cardinals, such as strong compactness and supercompactness. For a local version of strong compactness, we say that ω 1 is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76048c153f901196fe953d094d1fd214
https://doi.org/10.1016/j.apal.2021.102944
https://doi.org/10.1016/j.apal.2021.102944
Autor:
Trevor M. Wilson
Publikováno v:
Advances in Mathematics. 363:106986
Vopěnka's Principle says that the category of graphs has no large discrete full subcategory, or equivalently that the category of ordinals cannot be fully embedded into it. Weak Vopěnka's Principle is the dual statement, which says that the opposit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffadbf567dbffd35a53fcf81f0f88283
https://doi.org/10.1016/j.aim.2020.106986
https://doi.org/10.1016/j.aim.2020.106986
Autor:
Trevor M. Wilson
Publikováno v:
Annals of Pure and Applied Logic. 166:991-1018
Given an inductive-like pointclass Γ ˜ and assuming the Axiom of Determinacy, Martin identified and analyzed a pointclass that contains the prewellorderings of the next scale beyond Γ ˜ if such a scale exists. We show that much of Martin's analys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d86dd85fdb5f5be551a6ad9ea8a8620
https://doi.org/10.1016/j.apal.2015.05.003
https://doi.org/10.1016/j.apal.2015.05.003
Autor:
Trevor M. Wilson
Publikováno v:
Mathematical Research Letters. 22:301-316
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98841aff90942ef2fb49ecf38df92691
https://doi.org/10.4310/mrl.2015.v22.n1.a15
https://doi.org/10.4310/mrl.2015.v22.n1.a15
Autor:
Trevor M. Wilson
Publikováno v:
J. Symbolic Logic 70, iss. 3 (2005), 946-952
In 1924 Banach and Tarski demonstrated the existence of a paradoxical decomposition of the 3-ball B, i.e., a piecewise isometry from B onto two copies of B. This article answers a question of de Groot from 1958 by showing that there is a paradoxical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f4c7bdbd4d0127b7d927d01f0a862a4
https://resolver.caltech.edu/CaltechAUTHORS:WILjsl05
https://resolver.caltech.edu/CaltechAUTHORS:WILjsl05
