On NSOP$_2$ Theories

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2206.08512 v4 pith:L4275FK2 submitted 2022-06-17 math.LO

Scott Mutchnik This is my paper

classification math.LO

keywords nsopamonjaansweringeveryquestionshelahtheoriestheory

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

Answering a question of D\v{z}amonja and Shelah, we show that every NSOP$_2$ theory is NSOP$_1$.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A combinatorial characterization of Kim's lemma for pairs of bi-invariant types
math.LO 2025-07 conditional novelty 7.0 of 10

A theory has a (k,1,1)-weave if and only if a Kim's lemma variant for bi-invariant types fails, and k-grids imply stronger failures including, under GCH, failure of generic stationary local character.