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A note on stability spectrum of generic structures
Author(s) -
Anbo Yuki,
Ikeda Koichiro
Publication year - 2010
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.200810051
Subject(s) - mathematics , class (philosophy) , spectrum (functional analysis) , stability (learning theory) , pure mathematics , computer science , physics , artificial intelligence , quantum mechanics , machine learning
We show that if a class K of finite relational structures is closed under quasi‐substructures, then there is no saturated K ‐generic structure that is superstable but not ω ‐stable (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)