A NEW MODEL FOR ALL C -SEQUENCES ARE TRIVIAL
Abstract
Abstract We construct a model in which all C -sequences are trivial, yet there exists a $\kappa $ -Souslin tree all of whose limit levels are vanishing levels. This provides an optimal combination of compactness and incompactness. It is obtained by incorporating a so-called mutually exclusive ascent path to Kunen’s 1978 forcing construction, and by analyzing a gallery of $\kappa $ -cc forcing extensions of the outcome model.
Fields of Study & Subjects
Advanced Topology and Set Theory
Advanced Banach Space Theory
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Journal of Symbolic Logic
- Pages
- 1–19
- Publication date
- 29 January 2026
- Language
- EN