RANK and RANDOMNESS

We show that for each computable ordinal α > 0 it is possible to find in each Martin-Löf random Δ02 degree a sequence R of Cantor-Bendixson rank α, while ensuring that the sequences that inductively witness R's rank are all Martin-Löf random with respect to a single countably supported and...

Full description

Bibliographic Details
Main Authors: Hölzl, R. (Author), Porter, C.P (Author)
Format: Article
Language:English
Published: Cambridge University Press 2019
Subjects:
Online Access:View Fulltext in Publisher