Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Tom Benhamou"'
Publikováno v:
Proceedings of the American Mathematical Society. 151:1301-1309
We force the existence of a non-trivial κ \kappa -complete ultrafilter over κ \kappa which fails to satisfy the Galvin property. This answers a question asked by Benhamou and Gitik [Ann. Pure Appl. Logic 173 (2022), Paper No. 103107].
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fdcb958008541b75ebf4f9369691a4c
https://doi.org/10.1090/proc/16198
https://doi.org/10.1090/proc/16198
Autor:
Tom Benhamou, Moti Gitik
Publikováno v:
Israel Journal of Mathematics. 252:47-94
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2af6be36b893fb5e5e10a7404954b1d0
https://doi.org/10.1007/s11856-022-2335-1
https://doi.org/10.1007/s11856-022-2335-1
Autor:
Tom Benhamou, Moti Gitik
We continue the work done by the authors and before that by the second author, Kanovei and koepke. We prove that for every set of ordinals $A$ in a Magidor-Radin generic extension using a coherent sequence such that $o^{\vec{U}}(\kappa)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fab090df0de4fa0be4c81db752f05824
We prove that Galvin's property consistently fails at successors of strong limit singular cardinals. We also prove the consistency of this property failing at every successor of a singular cardinal. In addition, the paper analyzes the effect of Prikr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e4e279060c5a03d7a5c2178152bac83
Autor:
Moti Gitik, Tom Benhamou
Publikováno v:
Annals of Pure and Applied Logic. 172:102926
We continue Gitik, Kanovei and Koepke's work and study sets in generic extensions by the Magidor forcing and by the Prikry forcing with non-normal ultrafilters.
Comment: Accepted to APAL (Revised version)
Comment: Accepted to APAL (Revised version)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::783be83e8b6dccafada918a3c24eb8ea
https://doi.org/10.1016/j.apal.2020.102926
https://doi.org/10.1016/j.apal.2020.102926
Autor:
Tom Benhamou
In this paper, we answer a question asked in "A minimal Prikry type forcing for singularizing a measurable cardinal" regarding a Mathias criteria for Tree-Prikry forcing. Also we will investigate Prikry forcing using various filters. For completeness
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::198b4bb9dec2b59c532d78e3f772b8d9
http://arxiv.org/abs/1801.04424
http://arxiv.org/abs/1801.04424