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Rosenthal families, filters, and semifilters

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Publication:2118172
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DOI10.1007/S00153-021-00779-2OpenAlexW3167459532MaRDI QIDQ2118172

Miroslav Repický

Publication date: 22 March 2022

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-021-00779-2


zbMATH Keywords

set mappingRosenthal's lemma\(p\)-semifilter\(r\)-semifilter\(s\)-semifilterRamsey semifilter


Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)





Cites Work

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  • Combinatorial set theory: Partition relations for cardinals
  • Families of sets related to Rosenthal's lemma
  • Problems and theorems in classical set theory
  • Cardinal invariants and the collapse of the continuum by Sacks forcing
  • Compacts de fonctions mesurables et filtres non mesurables
  • Combinatorics on ideals and forcing
  • Set Theory
  • Strong meager properties for filters
  • Rosenthal families, pavings, and generic cardinal invariants
  • On relatively disjoint families of measures, with some applications to Banach space theory




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