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Introduction to: classification theory for abstract elementary class
[article]
2009
arXiv
pre-print
Classification theory of elementary classes deals with first order (elementary) classes of structures (i.e. fixing a set T of first order sentences, we investigate the class of models of T with the elementary submodel notion). It tries to find dividing lines, prove their consequences, prove "structure theorems, positive theorems" on those in the "low side" (in particular stable and superstable theories), and prove "non-structure, complexity theorems" on the "high side". It has started with
arXiv:0903.3428v1
fatcat:4dk2uczlq5ec5afsf35le3vmcm