Geodesic
Comparing the closed almost disjointness and dominating numbers
Dilip Raghavan1 ; Saharon Shelah2
1 Graduate School of System Informatics Kobe University Kobe 657-8501, Japan
2 Institute of Mathematics The Hebrew University Jerusalem, Israel and Department of Mathematics Rutgers University Piscataway, NJ 08854, U.S.A.
Fundamenta Mathematicae, Tome 217 (2012) no. 1, pp. 73-81

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that if there is a dominating family of size $\aleph _{1}$, then there are $\aleph _{1}$ many compact subsets of $\omega ^{\omega }$ whose union is a maximal almost disjoint family of functions that is also maximal with respect to infinite partial functions.
DOI : 10.4064/fm217-1-6
Keywords: prove there dominating family size aleph there aleph many compact subsets omega omega whose union maximal almost disjoint family functions maximal respect infinite partial functions

Dilip Raghavan 1 ; Saharon Shelah 2

1 Graduate School of System Informatics Kobe University Kobe 657-8501, Japan
2 Institute of Mathematics The Hebrew University Jerusalem, Israel and Department of Mathematics Rutgers University Piscataway, NJ 08854, U.S.A. 
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Dilip Raghavan; Saharon Shelah. Comparing the closed almost disjointness and
 dominating numbers. Fundamenta Mathematicae, Tome 217 (2012) no. 1, pp. 73-81. doi: 10.4064/fm217-1-6

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