Notes on the Basics of Simple Theories and NSOP1

Itay Kaplan

doi:10.1007/978-3-032-15023-3_3

Notes on the Basics of Simple Theories and NSOP₁

Itay Kaplan^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

These introductory notes are based on three lectures I gave at the Fields institute in November 2021, during the “Thematic Program on Trends in Pure and Applied Model Theory”. They cover the very basics of simplicity theory and NSOP₁ theories, culminating in proving symmetry of Kim-independence. The notes are partially based on notes by Nick Ramsey for an online mini-course he gave at Fudan university (China) in December 2020. This work was supported by the Israel Science Foundation (grants no. 1254/18 and 804/22).

Original language	English
Title of host publication	Fields Institute Communications
Publisher	Springer
Pages	63-86
Number of pages	24
DOIs	https://doi.org/10.1007/978-3-032-15023-3_3
State	Published - 2026

Publication series

Name	Fields Institute Communications
Volume	92
ISSN (Print)	1069-5265
ISSN (Electronic)	2194-1564

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.

Access to Document

10.1007/978-3-032-15023-3_3

Cite this

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