Geodesic
MAD families with strong combinatorial properties
Jörg Brendle1 ; Greg Piper1
1 The Graduate School of Science and Technology Kobe University Rokko-dai 1-1, Nada-ku Kobe 657-8501, Japan
Fundamenta Mathematicae, Tome 193 (2007) no. 1, pp. 7-21.

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

In his paper in Fund. Math. 178 (2003), Miller presented two conjectures regarding MAD families. The first is that CH implies the existence of a MAD family that is also a $\sigma $-set. The second is that under CH, there is a MAD family concentrated on a countable subset. These are proved in the present paper.
DOI : 10.4064/fm193-1-2
Keywords: his paper fund math miller presented conjectures regarding mad families first implies existence mad family sigma set second under there mad family concentrated countable subset these proved present paper

Jörg Brendle 1 ; Greg Piper 1

1 The Graduate School of Science and Technology Kobe University Rokko-dai 1-1, Nada-ku Kobe 657-8501, Japan 
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Jörg Brendle; Greg Piper. MAD families with strong combinatorial properties. Fundamenta Mathematicae, Tome 193 (2007) no. 1, pp. 7-21. doi : 10.4064/fm193-1-2. http://geodesic.mathdoc.fr/articles/10.4064/fm193-1-2/

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