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.
SOP 1, SOP2, and antichain tree property
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.LO 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
A combinatorial characterization of Kim's lemma for pairs of bi-invariant types
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.