∇_κ, remarkable cardinals, and 0^#

2001/05/25 by Ralf Schindler, Schindler, Ralf
Computer Science · Mathematics · #03E15 #03E55 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras #math.LO #msc:03E15 #msc:03E55

paper · pdf · doi:10.48550/arxiv.math/0105208

7 pages

arxiv created 2001/05/25 · openalex publication_date 2001/05/25 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

For an uncountable regular cardinal κwe let ∇_κ(A) be the statement that A ⊂ κand for all regular θ> κ, the set of all X ∈ [θ]^

Related

• Nonreflecting stationary sets in P_kappa(lambda)
• Cardinal characteristics on κ modulo non-stationary
• The Tree Property up to ℵ_ω²
• On Singular Stationarity II (tight stationarity and extenders-based\n methods)
• Generically supercompact cardinals by forcing with chain conditions