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Feb 13, 2014 at 19:37 comment added Andreas Blass Instead of building a strong scale from scratch, you could modify an existing scale, which is well-known to exist if $\mathfrak b=\mathfrak d$. If $\{g_\alpha:\alpha<\kappa\}$ is a scale, then a strong scale (increasing with respect to $\leq^*$ but dominating with respect to $\leq$) is given by setting, for $\alpha=\lambda+n$ as in Ramiro's answer, $f_\alpha(x)=xg_\lambda(x)+n$.
Feb 13, 2014 at 18:43 vote accept Renan Mezabarba
Feb 13, 2014 at 18:39 history edited Ramiro de la Vega CC BY-SA 3.0
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Feb 13, 2014 at 18:12 history answered Ramiro de la Vega CC BY-SA 3.0