DENSITY-LIKE AND GENERALIZED DENSITY IDEALS

Author:

KWELA ADAMORCID,LEONETTI PAOLOORCID

Abstract

Abstract We show that there exist uncountably many (tall and nontall) pairwise nonisomorphic density-like ideals on $\omega $ which are not generalized density ideals. In addition, they are nonpathological. This answers a question posed by Borodulin-Nadzieja et al. in [this Journal, vol. 80 (2015), pp. 1268–1289]. Lastly, we provide sufficient conditions for a density-like ideal to be necessarily a generalized density ideal.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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