Density-Like and Generalized Density Ideals

2020/01/01 by Kwela, Adam, Leonetti, Paolo · 1 citation
#03E15 #11B05 #28A05 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN)

paper · doi:10.48550/arxiv.2001.00223

Abstract

We show that there exist uncountably many (tall and nontall) pairwise nonisomorphic density-like ideals on ω which are not generalized density ideals. In addition, they are nonpathological. This answers a question posed by Borodulin-Nadzieja, Farkas, and Plebanek in [J. Symb. Log. 80 (2015), 1268--1289]. Lastly, we provide sufficient conditions for a density-like ideal to be necessarily a generalized density ideal.

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