Perfect Tree Forcings for Singular Cardinals

Autor: Karel Prikry, Dan Hathaway, Natasha Dobrinen
Rok vydání: 2017
Předmět:
DOI: 10.48550/arxiv.1707.04234
Popis: We investigate forcing properties of perfect tree forcings defined by Prikry to answer a question of Solovay in the late 1960's regarding first failures of distributivity. Given a strictly increasing sequence of regular cardinals $\langle \kappa_n: n< \omega \rangle$, Prikry defined the forcing $\mathbb{P}$ all perfect subtrees of $\prod_{n
Comment: 26 pages
Databáze: OpenAIRE