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pro vyhledávání: '"Maxwell Levine"'
Publikováno v:
The Journal of Symbolic Logic. 88:780-810
We obtain an array of consistency results concerning trees and stationary reflection at double successors of regular cardinals $\kappa $ , updating some classical constructions in the process. This includes models of $\mathsf {CSR}(\kappa ^{++})\wedg
Autor:
Maxwell Levine, Dima Sinapova
Publikováno v:
Fundamenta Mathematicae. 253:277-296
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
Autor:
Maxwell Levine
Publikováno v:
The Journal of Symbolic Logic. 83:1-12
We assume the existence of a supercompact cardinal and produce a model with weak square but no very good scale at a particular cardinal. This follows work of Cummings, Foreman, and Magidor, but uses a different approach. We produce another model, sta
Autor:
Maxwell Levine
Current research in set theory raises the possibility that $$\square _{\kappa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba796212842cdc27ebd949186bbb0dad
https://doi.org/10.1007/s00153-018-0613-8
https://doi.org/10.1007/s00153-018-0613-8
Autor:
Maxwell Levine
Publikováno v:
Annals of Pure and Applied Logic. 170:102713
Cummings, Foreman, and Magidor proved that for any λ κ , □ κ , λ implies that κ carries a PCF-theoretic object called a very good scale, but that □ κ ⁎ (which one could write as □ κ , κ ) is consistent with the absence of a very good