Premium
On the (non) superstable part of the free group
Author(s) -
Perin Chloé,
Sklinos Rizos
Publication year - 2016
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201500049
Subject(s) - mathematics , group (periodic table) , set (abstract data type) , free group , combinatorics , pure mathematics , computer science , physics , quantum mechanics , programming language
In this short note we prove that a definable set X over F n is superstable only if X ( F n ) = X ( F ω ) .