Comparing the closed almost disjointness and dominating numbers
Dilip Raghavan ; Saharon Shelah
Fundamenta Mathematicae, Tome 219 (2012), p. 73-81 / Harvested from The Polish Digital Mathematics Library
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We prove that if there is a dominating family of size ℵ₁, then there are ℵ₁ many compact subsets of ωω whose union is a maximal almost disjoint family of functions that is also maximal with respect to infinite partial functions.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:283395 
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     year = {2012},
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     zbl = {1258.03058},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-1-6}
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Dilip Raghavan; Saharon Shelah. Comparing the closed almost disjointness and dominating numbers. Fundamenta Mathematicae, Tome 219 (2012) pp. 73-81. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-1-6/