arXiv:1902.05229 Abstract | arXiv Analytics

arXiv:1902.05229 [math.LO]Abstract References Reviews Resources

Remarks on the strict order property

Published 2019-02-14Version 1

A well-known theorem of Shelah asserts that a theory has $OP$ (the order property) if and only if it has $IP$ (the independence property) or $SOP$ (the strict order property). We give a mild strengthening of Shelah's theorem for classical logic and a generalization of his theorem for continuous logic.

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

Categories: math.LO, math.FA

Keywords: strict order property, well-known theorem, shelah asserts, shelahs theorem, independence property

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