Classification theory for abstract elementary classes. Vol 2. (Q2786400)

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scientific article; zbMATH DE number 5789991
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Classification theory for abstract elementary classes. Vol 2.
scientific article; zbMATH DE number 5789991

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    22 September 2010
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    abstract elementary classes
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    classification theory
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    universal classes
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    Classification theory for abstract elementary classes. Vol 2. (English)
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    This second volume begins with the exact same ``Annotated Contents'' that appeared in Volume I (see Zbl 1125.03036). Volume II, which is fairly self-contained, consists of chapters V, VI and VII. (See Volume I, N. \(\S\)5 for comments on the actual dependencies.)NEWLINENEWLINEChapter V, entitled ``Universal classes'', has the following subsections: (A) Stability for a model; (B) Axiomatic framework; (C) A frame is not smooth or not \(\chi\)-based; (D) Non-forking and prime models; (E) Types of finite sequences; (F) The heart of the matter; (G) Changing the framework. The remaining chapters are: (VI) Categoricity of an a.e.c. in two successive cardinals revisited; (VII) Non-structure in \(\lambda^{++}\) using instances of WGCH.
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