Negating the Galvin property
Tom Benhamou, Shimon Garti, Alejandro Poveda
Abstract
Abstract We investigate Galvin'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 Logic 51 (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.
Topics & Concepts
Property (philosophy)MathematicsFilter (signal processing)Feature (linguistics)Pure mathematicsAlgebra over a fieldComputer scienceEpistemologyPhilosophyLinguisticsComputer visionAdvanced Topology and Set TheoryComputability, Logic, AI Algorithms