ASPERÓ–MOTA ITERATION AND THE SIZE OF THE CONTINUUM

Autor: TERUYUKI YORIOKA
Rok vydání: 2022
Předmět:
Zdroj: The Journal of Symbolic Logic. :1-34
ISSN: 1943-5886
0022-4812
Popis: In this paper we build an Asperó–Mota iteration of length $\omega _2$ that adds a family of $\aleph _2$ many club subsets of $\omega _1$ which cannot be diagonalized while preserving $\aleph _2$ . This result discloses a technical limitation of some types of Asperó–Mota iterations.
Databáze: OpenAIRE