Splitting positive sets

Hang Zhang, Jialiang He, Shuguo Zhang

Research output: Contribution to journalArticlepeer-review


We introduce a class of cardinal invariants s for ideals ℐ on ω which arise naturally from the FinBW property introduced by Filipów et al. (2007). Let ℐ be an ideal on ω. Define sI=min{∣X∣:X⊂[ω]ω,∀B∈I+,∃x∈X(B∖x,B∩x∈[ω]ω)}. We characterize them and compare them with other cardinal invariants of the continuum.

Original languageEnglish
Pages (from-to)2457-2470
Number of pages14
JournalScience China Mathematics
Issue number11
StatePublished - Nov 2023
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2023, Science China Press.


  • 03E15
  • 03E17
  • 40A30
  • cardinal invariant
  • forcing
  • ideal convergence


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