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Axiomatic Model Classes

  • P. M. Cohn
Part of the Mathematics and Its Applications book series (MAIA, volume 6)

Abstract

As we saw in Chapter V, some properties of Ω-structures can be expressed by means of elementary sentences, while others cannot. We now take the analysis one step further: we consider various properties of axiomatic model classes and enquire to what extent these may be characterized by the form of the defining sentences. The chapter concludes with an elegant characterization, due to Keisler [611, of axiomatic model classes in terms of ultraproducts.

Keywords

Finite Subset Homomorphic Image Atomic Formula Unary Predicate Universal Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1981

Authors and Affiliations

  • P. M. Cohn
    • 1
  1. 1.Bedford CollegeUniversity of LondonLondonEngland

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