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Simplicity Theory >> Content Detail



Lecture Notes



Lecture Notes

The handwritten lecture notes are provided courtesy Christina Goddard, a student in the class. Used with permission.

SES #TOPICSLECTURE NOTES
1The Basic Setting: Universal Domains(PDF)
2Extraction of Indiscernible Sequences
(Taught by David K. Milovich)
(PDF)
3Dividing and its Basic Properties(PDF)
4Simplicity

Statement of the Properties of Independence

Morley Sequences

Proof of Symmetry and Transitivity from Extension
(PDF)
5Thickness

Total D-rank and Extension
(PDF)
6Lascar Strong Types and the Independence Theorem
(Partially taught by Christina Goddard)
(PDF)
7Examples: Hilbert Spaces, Hyperimaginary Sorts
(Taught by Josh Nichols-Barrer)
(PDF)
8Generically Transitive Relations

Amalgamation Bases, Parallelism and Canonical Bases
(PDF)
9Characterisation of Simplicity and Non-dividing in Terms of Abstract Notion of Independence
(Taught by Cameron Freer)
(PDF)
10Supersimplicity

Lascar Inequalities

Stability
(PDF)
11-12Stable Theories with a Generic Automorphism(PDF)
13-14Groups: Stratified Ranks, Generic Elements and Types

Connected Components, Stabilisers
(PDF)
15-16Lovely Pairs(PDF)

 








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