Abstract: 

We discuss Chernikov’s conjecture that the burden is sub-additive. As partial progress toward this conjecture, we show that if a theory $T$ has a stronger version of dependent dividing (which we call existentially NIP dividing), then the burden for the type $\{\overline{x}=\overline{x}\}$ is sub-additive, i.e., Shelah's $\kappa_{inp}^n(T)$ is sub-additive.

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