Non-forking w-good frames
Marcos Mazari Armida

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Abstract
We introduce the notion of a w-good -frame which is a weakening of Shelah's notion of a good -frame. Existence of a w-good -frame implies existence of a model of size . Tameness and amalgamation imply extension of a w-good -frame to larger models. As an application we show: Suppose and . If and is -tame, then . The proof presented clarifies some of the details of the main theorem of [Sh576] and avoids using the heavy set-theoretic machinery of [Sh: h \S VII] by replacing it with tameness.
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TopicsImage Processing Techniques and Applications
