论文信息 - Advances in Cardinal Arithmetic

Advances in Cardinal Arithmetic

If cfκ = κ, κ + < cfλ = λ then there is a stationary subset S of {δ < λ : cf(δ) = κ} in I[λ]. Moreover, we can find C = 〈C δ : δ ∈ S〉, C δ club of λ, otp(C δ ) = κ, guessing clubs and for each α < λ we have: {C δ ⋂ α: α ∈ naccC δ } has cardinality < λ.

S. Shelah

[1] Saharon Shelah,et al. A compactness theorem for singular cardinals, free algebras, Whitehead problem and tranversals , 1975 .

[2] Saharon Shelah,et al. On Successors of Singular Cardinals , 1979 .

[3] R. Jensen,et al. The Core Model , 1982, An Introduction to Geographical and Urban Economics.

[4] Tony Dodd,et al. The covering lemma for K , 1982, Ann. Math. Log..

[5] Saharon Shelah,et al. Diamonds, uniformization , 1984, Journal of Symbolic Logic.

[6] The existence of coding sets , 1986 .

[7] Saharon Shelah,et al. Around classification theory of models , 1986 .

[8] Saharon Shelah,et al. Combinatorial problems on trees: Partitions, δ-systems and large free subtrees , 1987, Ann. Pure Appl. Log..

[9] Saharon Shelah,et al. Classification of non elementary classes II abstract elementary classes , 1987 .

[10] Saharon Shelah,et al. Reflecting stationary sets and successors of singular cardinals , 1991, Arch. Math. Log..

[11] Saharon Shelah. More on cardinal arithmetic , 1993, Arch. Math. Log..