1. CJM Online first
 Fischer, Vera; Mejia, Diego Alejandro

Splitting, Bounding, and Almost Disjointness can be quite Different
We prove the consistency of
$\operatorname{add}(\mathcal{N})\lt \operatorname{v}(\mathcal{N})\lt \mathfrak{p}=\mathfrak{s}=\mathfrak{g}\lt \operatorname{add}(\mathcal{M})=\operatorname{f}(\mathcal{M})\lt \mathfrak{a}=\mathfrak{r}=\operatorname{non}(\mathcal{N})=\mathfrak{c}$
with $\mathrm{ZFC}$, where each of these cardinal invariants assume arbitrary
uncountable regular values.
Keywords:cardinal characteristics of the continuum, splitting, bounding number, maximal almostdisjoint families, template forcing iterations, isomorphismofnames Categories:03E17, 03E35, 03E40 

2. CJM 2011 (vol 63 pp. 1416)
 Shelah, Saharon

MAD Saturated Families and SANE Player
We throw some light on the question: is there a MAD family
(a maximal family of infinite subsets of $\mathbb{N}$, the intersection of any
two is finite) that is saturated (completely separable \emph{i.e.,} any
$X \subseteq \mathbb{N}$ is
included in a finite union of members of the family \emph{or} includes a
member (and even continuum many members) of the family).
We prove that it is hard to prove the consistency of the negation:
(i) if $2^{\aleph_0} \lt \aleph_\omega$, then there is such a family;
(ii) if there is no such family, then some situation
related to pcf holds whose consistency is large (and if ${\mathfrak a}_* \gt
\aleph_1$ even unknown);
(iii) if, \emph{e.g.,} there is no inner model with measurables,
\emph{then} there is such a family.
Keywords:set theory, MAD families, pcf, the continuum Categories:03E05, 03E04, 03E17 
