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Mar 22, 2021 at 14:57 comment added Corey Bacal Switzer @JohannesSchürz thanks! I'll check it out
Mar 19, 2021 at 20:27 comment added Johannes Schürz This paper deals with your first question question.Your second question seems trickier, because using Hechler forcing in the template construction will likely yield $\text{add}(\mathcal{M})=\text{cof}(\mathcal{M})$.
Mar 19, 2021 at 16:29 comment added Corey Bacal Switzer @WillBrian Great thanks for the reference I will look into it!
Mar 19, 2021 at 13:24 comment added Will Brian shelah.logic.at/files/95437/700.pdf
Mar 19, 2021 at 13:22 comment added Will Brian Shelah proved the consistency of both $\mathfrak{d} < \mathfrak{a}$ and the consistency $\mathfrak{u} < \mathfrak{a}$. (Same paper, but two different models.) I would not be surprised if one of these models had $\mathrm{non}(\mathcal M) < \mathfrak{a}$ as well. If no one is able to answer your question outright, you might want to try computing $\mathrm{non}(\mathcal M)$ in these models, or try to modify the techniques from that paper.
Mar 19, 2021 at 12:28 history edited Asaf Karagila CC BY-SA 4.0
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Mar 19, 2021 at 10:10 history asked Corey Bacal Switzer CC BY-SA 4.0