MAD families with strong combinatorial properties
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.
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
Affiliations des auteurs :
Jörg Brendle 1 ; Greg Piper 1
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author = {J\"org Brendle and Greg Piper},
title = {MAD families with strong combinatorial properties},
journal = {Fundamenta Mathematicae},
pages = {7--21},
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volume = {193},
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TY - JOUR AU - Jörg Brendle AU - Greg Piper TI - MAD families with strong combinatorial properties JO - Fundamenta Mathematicae PY - 2007 SP - 7 EP - 21 VL - 193 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm193-1-2/ DO - 10.4064/fm193-1-2 LA - en ID - 10_4064_fm193_1_2 ER -
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
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