Geodesic
Splitting Families and Complete Separability
Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 119-124

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DOI

We answer a question from Raghavan and Steprāns by showing that $\mathfrak{s}\,\text{=}\,{{\mathfrak{s}}_{\omega ,\omega }}.$ Then we use this to construct a completely separable maximal almost disjoint family under $\mathfrak{s}\,\le \,\mathfrak{a}$ , partially answering a question of Shelah.
DOI : 10.4153/CMB-2013-027-2
Mots-clés : 03E05, 03E17, 03E65, maximal almost disjoint family, cardinal invariants 
Mildenberger, Heike; Raghavan, Dilip; Steprans, Juris. Splitting Families and Complete Separability. Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 119-124. doi: 10.4153/CMB-2013-027-2
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     title = {Splitting {Families} and {Complete} {Separability}},
     journal = {Canadian mathematical bulletin},
     pages = {119--124},
     year = {2014},
     volume = {57},
     number = {1},
     doi = {10.4153/CMB-2013-027-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-027-2/}
}
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