arXiv:1904.09486 Abstract | arXiv Analytics

arXiv:1904.09486 [math.LO]Abstract References Reviews Resources

Dividing lines in unstable theories and subclasses of Baire 1 functions

Published 2019-04-20Version 1

We give a new characterization of SOP (the strict order property) and an optimal version of a theorem of Shelah, namely a theory has OP (the order property) if and only if it has IP (the independence property) or SOP. We point out some parallels between dividing lines in unstable theories and subclasses of Baire 1 functions.

Comments: Comments are welcome! email: k.khanaki@gmail.com

Categories: math.LO

Keywords: unstable theories, dividing lines, subclasses, strict order property, optimal version

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