Cichon's diagram for Turing oracles
- Date: Wednesday 29 November 2017, 14:00 – 15:00
- Location: Mathematics Level 8, MALL 2, School of Mathematics
- Type: Proofs, Constructions and Computations, Seminars, Pure Mathematics
- Cost: Free
Andrew Brooke-Taylor, University of Leeds. Part of the PCC seminar series
Abstract: There is a natural analogy that can be drawn between cardinal characteristics of the continuum and highness properties of Turing oracles. I will talk about joint work with Joerg Brendle, Andre Nies and Selwyn Ng, where we flesh out this analogy for the cardinal characteristics of Cichon's diagram (amongst others), obtaining a diagram of highness properties which gives a context for many previously known results. Particularly notable is that the analogy is not perfect, and whilst much of the diagram remains the same, some of it collapses.