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Toward Categoricity for Classes with No Maximal Models by Saharon Shelah; Andrés Villaveces is a Computer Science article available to read on EtoBox.

What is Toward Categoricity for Classes with No Maximal Models about?

We provide here the first steps toward a Classification Theory of Abstract Elementary Classes with no maximal models, plus some mild set theoretical assumptions, when the class is categorical in some i greater than its Liiwenheim-Skolem number. We study the degree to which amalgamation may be recovered, the behaviour of non p-splitting types. Most importantly, the existence of saturated models in a strong enough sense is proved, as a first step toward a complete solution to the Los Conjecture for these classes. Further results are in preparation.

Who reads Toward Categoricity for Classes with No Maximal Models?

Author

Saharon Shelah; Andrés Villaveces

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0168-0072)

Published

1999

Language

EN

Field

Computer Science (Physical Sciences)