Abstract
We investigate the model-theoretic invariant κsrdm(T), which was introduced by Shelah, and prove that κsrdm(T) is sub-additive. An infinite value of κsrdm(T) leads to the equality κsrdm(T)=κsrd1(T). We apply the same proof method to analyze the other invariant κirdm(T) and show that it is also sub-additive, achieving an improvement of Shelah's result.
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