Dimension in Models of a Totally Transcendental Theory
Throughout this chapter we will be considering a totally transcendental theory T; sometimes, this will be only to simplify our lives, as the arguments that we will advance remain valid in the case of a stable or superstable theory, provided that we consider only sufficiently saturated models. In other cases, in contrast, our life will be more complicated, since we will be doing more ambitious proofs: When we adopt the rather strong hypothesis of total transcendence, we are going to attempt to classify all models of T, if possible, instead of only the sufficiently saturated ones. The tools that will help us in this task will not always behave as simply as we might hope.
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