Completed
Ramsey's Theorems, 1930
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Ramsey Theory of Homogeneous Structures
Automatically move to the next video in the Classroom when playback concludes
- 1 Intro
- 2 Pigeonhole Principle
- 3 Ramsey's Theorems, 1930
- 4 The Rationals as a Dense Linear Order
- 5 Coloring Finite Sets of Rationals
- 6 Example: Colorings of copies of a finite graph
- 7 Homogeneous and Universal Structures
- 8 Infinite Structural Ramsey Theory
- 9 Big Ramsey Degree results up to 2010
- 10 Methodology for red highlighted results
- 11 Milliken's Theorem (special case)
- 12 Diagonal Antichains
- 13 Exact Big Ramsey Degrees of the Rado graph
- 14 Prior Methods Insufficient for Triangle-Free Graphs
- 15 New developments: how forcing opened new paths
- 16 Diagonal Coding Tree T within Coding Tree of 1-types
- 17 Forcing a Level Set Pigeonhole
- 18 Exact Big Ramsey Degrees for H3
- 19 Precise characterization of big Ramsey degrees for Hz
- 20 T(Edge, H3) = 2
- 21 T(Non-Edge, H3) = 5
- 22 Developments via coding trees and forcing
- 23 Developments not using forcing
- 24 Upper Bounds for Binary Free Amalgamation Classes
- 25 Exact Big Ramsey Degrees for binary free amalgamation
- 26 Big Question
- 27 Ongoing Investigations
