Functions on Homogeneous Ramsey Structures 3 – Ramsey DocCourse Prague 2016

The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.

Title: Functions on Homogeneous Ramsey Structures 3 (of 3).

Lecturer: Michael Pinsker.

Date: Friday October 14, 2016.

Main Topics: Proof of Ramsey claim for canonical functions, Thomas’ Theorem for the Rado Graph, Open questions

Definitions: No new definitions

Lecture 1Lecture 2 – Lecture 3

Continue reading Functions on Homogeneous Ramsey Structures 3 – Ramsey DocCourse Prague 2016

Functions on Homogeneous Ramsey Structures 2 – Ramsey DocCourse Prague 2016

The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.

Special thanks. Thank you to Michael Kompatscher for all his feedback and helpful comments.

Title: Functions on Homogeneous Ramsey Structures 2 (of 3).

Lecturer: Michael Pinsker.

Date: Friday October 7, 2016.

Main Topics: Equivalent notions of \omega -categorical, Proof of Cameron’s Theorem, Proof of canonical-Ramsey.

Definitions:No new ones.

Lecture 1 – Lecture 2 – Lecture 3

Continue reading Functions on Homogeneous Ramsey Structures 2 – Ramsey DocCourse Prague 2016

Functions on Homogeneous Ramsey Structures 1 – Ramsey DocCourse Prague 2016

The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.

Special thanks. Thank you to Michael Kompatscher for helpful fixes and feedback.

Title: Functions on Homogeneous Ramsey Structures 1 (of 3)

Lecturer: Michael Pinsker

Date: Wednesday October 5, 2016.

Main Topics: Canonical functions, \omega -categorical structures, Automorphisms vs preserving types.

Definitions:[S]^n , type, theory, canonical function, \omega -categorical structure, pointwise convergence.

Lecture 1 – Lecture 2Lecture 3
Continue reading Functions on Homogeneous Ramsey Structures 1 – Ramsey DocCourse Prague 2016