Affiliation:
1. Department of Mathematics Statistics and Computer Science University of Illinois at Chicago Illinois USA
2. Einstein Institute of Mathematics The Hebrew University of Jerusalem Jerusalem Israel
3. Center of Mathematical Sciences and Applications Harvard University Cambridge Massachusetts USA
Abstract
AbstractWe investigateGalvin's property, a striking feature of the filter of closed unbounded subsets of an infinite cardinal. In particular, we continue the work of Abraham and Shelah (J. Symbolic Logic51(1986), no. 1, 180–189) by developing new methods to handle singular cardinals. In addition, the paper explores some new strengthenings of Galvin's property and analyzes their connections with other classical properties of filters.
Reference67 articles.
1. Handbook of set theory;Abraham U.,2010
2. On the intersection of closed unbounded sets
3. On separably injective Banach spaces
4. More on the preservation of large cardinals under class forcing;Bagaria J.;J. Symb. Log.,2021
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. ON COHEN AND PRIKRY FORCING NOTIONS;The Journal of Symbolic Logic;2023-09-11