Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Shimon Garti"'
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
Publikováno v:
Periodica Mathematica Hungarica. 84:250-258
We study the Galvin property. We show that various square principles imply that the cofinality of the Galvin number is uncountable (or even greater than $$\aleph _1$$ ). We prove that the proper forcing axiom is consistent with a strong negation of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe9a6ccaa7e94eae35d3af32a9252fe1
https://doi.org/10.1007/s10998-021-00407-9
https://doi.org/10.1007/s10998-021-00407-9
Autor:
Shimon Garti
Publikováno v:
Proceedings of the American Mathematical Society. 149:1281-1287
We prove the consistency of $\binom{\mu^+}{\mu}\nrightarrow\binom{\mu^+ \omega_1}{\mu\ \mu}$ where $\mu$ is a strong limit singular cardinal of countable cofinality. This result can be forced at limit of measurable cardinals and at small cardinals li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5a812b168f179d203196725e46f4ab7
https://doi.org/10.1090/proc/15300
https://doi.org/10.1090/proc/15300
Autor:
Saharon Shelah, Shimon Garti
Publikováno v:
Fundamenta Mathematicae. 250:101-115
We prove the consistency of $\mathfrak{r}_\lambda
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f86b387e78d533d468d14135e25bd99c
https://doi.org/10.4064/fm595-9-2019
https://doi.org/10.4064/fm595-9-2019
Publikováno v:
Acta Mathematica Hungarica. 160:320-336
We prove the consistency of $$\mathfrak{u}_{\aleph_\omega} < 2^{\aleph_\omega}$$. We also show that the consistency strength of this statement is the existence of a measurable cardinal $$\kappa$$ with $$o(\kappa) = \kappa^{++}$$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6533467ed0ffbe05670eb3242e81aab8
https://doi.org/10.1007/s10474-019-00971-0
https://doi.org/10.1007/s10474-019-00971-0
Autor:
Shimon Garti
We suggest a forcing version of Yablo's paradox and discuss its implication on self-reference.
to appear
to appear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fed3cefd826e2d2adf0a97aa226baecf
http://arxiv.org/abs/2101.04972
http://arxiv.org/abs/2101.04972
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
Publikováno v:
The Electronic Journal of Combinatorics. 27
We prove that if $\mu>{\rm cf}(\mu)=\omega$ and $2^\mu=\mu^+$ then $\binom{\mu^+}{\mu}\nrightarrow\binom{\mu^+\ \aleph_2}{\mu\ \mu}$.
Comment: 12 pages, to appear
Comment: 12 pages, to appear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb1a40c521125eae650bdd02933ee60e
https://doi.org/10.37236/8849
https://doi.org/10.37236/8849
Autor:
Saharon Shelah, Shimon Garti
We prove that, consistently, there exists a weakly but not strongly inaccessible cardinal $\lambda$ for which the sequence $\langle 2^\theta:\theta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb5866215d59cd54fb9972766579fead
http://arxiv.org/abs/2002.03573
http://arxiv.org/abs/2002.03573
Autor:
Shimon Garti, Saharon Shelah
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica. 55:203-212
We analyze the strong polarized partition relation with respect to several cardinal characteristics and forcing notions of the reals. We prove that random reals (as well as the existence of real-valued measurable cardinals) yield downward negative po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4959f2133a80d1ddc452cfe33b21317
https://doi.org/10.1556/012.2018.55.2.1393
https://doi.org/10.1556/012.2018.55.2.1393