The spectrum of independence, II

We study the set sp(i)={|A|:A⊆[ω]ω is a maximal independent family}, referred to as the spectrum of independence. We develop a forcing notion, which allows us to adjoin a maximal independent family of arbitrary cardinality, and so in particular of cardinality ℵω. Moreover, given an arbitrary set Θ o...

Full description

Bibliographic Details
Main Authors: Fischer, V. (Author), Shelah, S. (Author)
Format: Article
Language:English
Published: Elsevier B.V. 2022
Subjects:
Online Access:View Fulltext in Publisher