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  1. Pathology of submeasures and $$F_{\sigma }$$ ideals.Jorge Martínez, David Meza-Alcántara & Carlos Uzcátegui - 2024 - Archive for Mathematical Logic 63 (7):941-967.
    We address some phenomena about the interaction between lower semicontinuous submeasures on $${\mathbb {N}}$$ N and $$F_{\sigma }$$ F σ ideals. We analyze the pathology degree of a submeasure and present a method to construct pathological $$F_{\sigma }$$ F σ ideals. We give a partial answers to the question of whether every nonpathological tall $$F_{\sigma }$$ F σ ideal is Katětov above the random ideal or at least has a Borel selector. Finally, we show a representation of nonpathological $$F_{\sigma }$$ (...)
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