Zobrazeno 1 - 10
of 16
pro vyhledávání: '"03E17, 03E55"'
Publikováno v:
Acta Mathematica Hungarica, vol. 160 (2), 2020, pp. 320-336
We prove the consistency of the statement $\mathfrak{u}_{\aleph_\omega}<2^{\aleph_\omega}$. We show that the consistency strength of this statement is exactly a measurable cardinal $\mu$ so that $o(\mu)=\mu^{++}$.
Externí odkaz:
http://arxiv.org/abs/1812.05291
Autor:
Garti, Shimon, Shelah, Saharon
Publikováno v:
Fundamenta Mathematicae, vol. 250 (2), pp. 101-115, 2020
We prove the consistency of $\mathfrak{r}_\lambda<\mathfrak{d}_\lambda$ and even $\mathfrak{u}_\lambda<\mathfrak{d}_\lambda$ for a singular cardinal $\lambda$.
Externí odkaz:
http://arxiv.org/abs/1806.09286
Publikováno v:
Fundamenta Mathematicae 252 (2021), 241-314
For a strongly inacessible cardinal $\kappa$, we investigate the relationships between the following ideals: - the ideal of meager sets in the ${<}\kappa$-box product topology - the ideal of "null" sets in the sense of [Sh:1004] (arXiv:1202.5799) - t
Externí odkaz:
http://arxiv.org/abs/1806.08583
Autor:
Garti, Shimon
Publikováno v:
Comptes Rendus Mathematique, Acad. Sci. Paris, Ser. I, vol. 356, April 2018, pp. 351-359
We prove that tiltan is consistent with the negation of Galvin's property. On the other hand, superclub implies Galvin's property. We also show that tiltan is consistent with a large value of the splitting number at kappa, where kappa is supercompact
Externí odkaz:
http://arxiv.org/abs/1801.02142
Autor:
Raghavan, Dilip, Todorcevic, Stevo
We investigate the unbalanced ordinary partition relations of the form $\lambda \rightarrow {(\lambda, \alpha)}^{2}$ for various values of the cardinal $\lambda$ and the ordinal $\alpha$. For example, we show that for every infinite cardinal $\kappa,
Externí odkaz:
http://arxiv.org/abs/1602.07901
Autor:
Raghavan, Dilip, Shelah, Saharon
We prove two $\mathrm{ZFC}$ inequalities between cardinal invariants. The first inequality involves cardinal invariants associated with an analytic P-ideal, in particular the ideal of subsets of $\omega$ of asymptotic density $0$. We obtain an upper
Externí odkaz:
http://arxiv.org/abs/1505.06296
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:
Dilip Raghavan, Stevo Todorcevic
Publikováno v:
Israel Journal of Mathematics. 225:771-796
We investigate the unbalanced ordinary partition relations of the form $\lambda \rightarrow {(\lambda, \alpha)}^{2}$ for various values of the cardinal $\lambda$ and the ordinal $\alpha$. For example, we show that for every infinite cardinal $\kappa,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::deec62b4e004d946576d0e040bbcb926
https://doi.org/10.1007/s11856-018-1677-1
https://doi.org/10.1007/s11856-018-1677-1
Autor:
Shimon Garti
Publikováno v:
Comptes Rendus Mathematique. 356:351-359
We prove that tiltan is consistent with the negation of Galvin's property. On the other hand, superclub implies Galvin's property. We also show that tiltan is consistent with a large value of the splitting number at kappa, where kappa is supercompact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20ecb7e62f66b84af6f5be9e9f372e9f
https://doi.org/10.1016/j.crma.2018.02.001
https://doi.org/10.1016/j.crma.2018.02.001
For a strongly inacessible cardinal $\kappa$, we investigate the relationships between the following ideals: - the ideal of meager sets in the ${
Comment: 84 pages
Comment: 84 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbd53c6129998b3b6764bc062df5381e