Contents: (Math. Log. Quart. 1/2023)
Mathematical logic quarterly · 2023
Strongly unfoldable, splitting and boundingAssuming GCH, we show that generalized eventually narrow sequences on a strongly inaccessible cardinal κ are preserved under a one step iteration of the Hechler forcing for adding a dominating κ-real.Moreover, we show that if κ is strongly unfoldable, 2 κ = κ + and λ is a regular cardinal such that κ + < λ, then there is a set generic extension in which s(κ