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On well-splitting posets

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Publication:2085576
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DOI10.1007/s00153-022-00818-6OpenAlexW4221098906MaRDI QIDQ2085576

Lyubomyr Zdomskyy, Dušan D. Repovš

Publication date: 18 October 2022

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

Full work available at URL: https://arxiv.org/abs/2204.08257


zbMATH Keywords

splittingfilterMiller forcingHurewicz spacemad familyboundingRoitman problem


Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17)




Cites Work

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  • Mathias-Prikry and Laver type forcing; summable ideals, coideals, and \(+\)-selective filters
  • Mob families and mad families
  • Two cardinal invariants of the continuum \(({\mathfrak d} <{\mathfrak a})\) and FS linearly ordered iterated forcing
  • The combinatorics of open covers. II
  • MATHIAS FORCING AND COMBINATORIAL COVERING PROPERTIES OF FILTERS
  • Proper Forcing
  • Combinatorial Cardinal Characteristics of the Continuum
  • Lindelöf indestructibility, topological games and selection principles
  • Brendle's proof of the consistency of b<a, without ranks, games, and Cohen reals


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