Title
Piece selection and cardinal arithmetic
Abstract
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
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 Matet12911.25