Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Assaf Rinot"'
Autor:
Assaf Rinot, Jing Zhang
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
We study the existence of transformations of the transfinite plane that allow one to reduce Ramsey-theoretic statements concerning uncountable Abelian groups into classical partition relations for uncountable cardinals.
Externí odkaz:
https://doaj.org/article/bbe9a5b46ee54a91ab183a74c07a69e5
Autor:
ARI MEIR BRODSKY, ASSAF RINOT
Publikováno v:
Forum of Mathematics, Sigma, Vol 5 (2017)
We study the relationship between a $\unicode[STIX]{x1D705}$ -Souslin tree $T$ and its reduced powers $T^{\unicode[STIX]{x1D703}}/{\mathcal{U}}$ .
Externí odkaz:
https://doaj.org/article/8a93829f8d6e4ef0a8c6e718152ffa22
Autor:
Assaf Rinot, Jing Zhang
Publikováno v:
Combinatorica.
We continue our study of maps transforming high-dimensional complicated objects into squares of stationary sets. Previously, we proved that many such transformations exist in ZFC, and here we address the consistency of the strongest conceivable trans
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64fabc03368147fc6a3818cb2a50e1a1
https://doi.org/10.1007/s00493-023-00011-0
https://doi.org/10.1007/s00493-023-00011-0
Autor:
Ido Feldman, Assaf Rinot
Motivated by a problem in additive Ramsey theory, we extend Todorcevic's partitions of three-dimensional combinatorial cubes to handle additional three-dimensional objects. As a corollary, we get that if the continuum hypothesis fails, then for every
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c9ffffffe360a8fb7772742a7237993
http://arxiv.org/abs/2301.01671
http://arxiv.org/abs/2301.01671
Publikováno v:
Israel Journal of Mathematics. 245:295-345
We introduce a generalization of stationary set reflection which we call "filter reflection", and show it is compatible with the axiom of constructibility as well as with strong forcing axioms. We prove the independence of filter reflection from ZFC,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8da0069a94c1f8719b9f15b97e1a6f49
https://doi.org/10.1007/s11856-021-2213-2
https://doi.org/10.1007/s11856-021-2213-2
Autor:
Assaf Rinot
Publikováno v:
Mathematical Logic Quarterly
We present a weak sufficient condition for the existence of Souslin trees at successor of regular cardinals. The result is optimal and simultaneously improves an old theorem of Gregory and a more recent theorem of the author.
Comment: http://www
Comment: http://www
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73d145856b8bd407883e5e910836f9d6
https://doi.org/10.1002/malq.201800065
https://doi.org/10.1002/malq.201800065
Autor:
Assaf Rinot, Chris Lambie-Hanson
Publikováno v:
Canadian Journal of Mathematics. 71:437-470
We derive a forcing axiom from the conjunction of square and diamond, and present a few applications, primary among them being the existence of super-Souslin trees. It follows that for every uncountable cardinal$\unicode[STIX]{x1D706}$, if$\unicode[S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::972517a9d3d8a8525cff35f9a2df8446
https://doi.org/10.4153/cjm-2017-058-2
https://doi.org/10.4153/cjm-2017-058-2
Autor:
Assaf Rinot, Roy Shalev
We introduce a new combinatorial principle which we call $\clubsuit_{AD}$. This principle asserts the existence of a certain multi-ladder system with guessing and almost-disjointness features, and is shown to be sufficient for carrying out de Caux ty
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30b828238090bee4601d38d076785945
Autor:
Maxwell Levine, Assaf Rinot
Publikováno v:
Proceedings of the American Mathematical Society
We address the question of whether a reflecting stationary set may be partitioned into two or more reflecting stationary subsets, providing various affirmative answers in ZFC. As an application to singular cardinals combinatorics, we infer that it is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71b7bd571e360d357c9190228ab79c46
Publikováno v:
Monatshefte für Mathematik
A classical theorem of Hechler asserts that the structure $\left(\omega^\omega,\le^*\right)$ is universal in the sense that for any $\sigma$-directed poset P with no maximal element, there is a ccc forcing extension in which $\left(\omega^\omega,\le^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d76a282f233eead490ed614629f46901