Two structures with identical one-variable definable sets can differ in pseudo-o-minimality, refuting an axiomatization by one-variable conditions and a pigeonhole principle conjecture.
A fundamental dichotomy for definably complete expansions of ordered fields
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.LO 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Pseudo-finite sets, pseudo-o-minimality
Two structures with identical one-variable definable sets can differ in pseudo-o-minimality, refuting an axiomatization by one-variable conditions and a pigeonhole principle conjecture.