Geodesic
Splitting, Bounding, and AlmostDisjointness Can Be Quite Different
Canadian journal of mathematics, Tome 69 (2017) no. 3, pp. 502-531

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DOI

We prove the consistency of $$~~\text{add}\left( \mathcal{N} \right)<\operatorname{cov}\left( \mathcal{N} \right)<\mathfrak{p}\text{=}\mathfrak{s}\text{=}\mathfrak{g}< \text{add}\left( \mathcal{M} \right)=\text{cof}\left( \mathcal{M} \right)<\mathfrak{a}=\mathfrak{r}=\text{non}\left( N \right)=\mathfrak{c}$$ with $\text{ZFC}$ , where each of these cardinal invariants assume arbitrary uncountable regular values.
DOI : 10.4153/CJM-2016-021-8
Mots-clés : 03E17, 03E35, 03E40, Cardinal characteristics of the continuum, splitting, bounding number, maximal almost-disjoint families, template forcing iterations, isomorphism-of-names 
Fischer, Vera; Mejia, Diego Alejandro. Splitting, Bounding, and AlmostDisjointness Can Be Quite Different. Canadian journal of mathematics, Tome 69 (2017) no. 3, pp. 502-531. doi: 10.4153/CJM-2016-021-8
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     title = {Splitting, {Bounding,} and {AlmostDisjointness} {Can} {Be} {Quite} {Different}},
     journal = {Canadian journal of mathematics},
     pages = {502--531},
     year = {2017},
     volume = {69},
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     doi = {10.4153/CJM-2016-021-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-021-8/}
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