Abstract | ||
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We study the effects of piece selection principles on cardinal arithmetic (Shelah style). As an application, we discuss questions of Abe and Usuba. In particular, we show that if lambda >= 2 kappa$\lambda \ge 2<^>\kappa$, then (a) I kappa,lambda$I_{\kappa , \lambda }$ is not (lambda, 2)-distributive, and (b) I kappa,lambda+->(I kappa,lambda+)omega 2$I_{\kappa , \lambda }<^>+ \rightarrow (I_{\kappa , \lambda }<^>+)<^>2_\omega$ does not hold. |
Year | DOI | Venue |
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2022 | 10.1002/malq.202100033 | MATHEMATICAL LOGIC QUARTERLY |
DocType | Volume | Issue |
Journal | 68 | 4 |
ISSN | Citations | PageRank |
0942-5616 | 0 | 0.34 |
References | Authors | |
0 | 1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pierre Matet | 1 | 29 | 11.25 |