MAD families with strong combinatorial properties

@article{JörgBrendle2007,
abstract = {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 σ-set. The second is that under CH, there is a MAD family concentrated on a countable subset. These are proved in the present paper.},
author = {Jörg Brendle, Greg Piper},
journal = {Fundamenta Mathematicae},
keywords = {MAD family; -set; -set; Woodin cardinal; Martin's Axiom},
language = {eng},
number = {1},
pages = {7-21},
title = {MAD families with strong combinatorial properties},
url = {http://eudml.org/doc/283296},
volume = {193},
year = {2007},
}

TY - JOUR
AU - Jörg Brendle
AU - Greg Piper
TI - MAD families with strong combinatorial properties
JO - Fundamenta Mathematicae
PY - 2007
VL - 193
IS - 1
SP - 7
EP - 21
AB - 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 σ-set. The second is that under CH, there is a MAD family concentrated on a countable subset. These are proved in the present paper.
LA - eng
KW - MAD family; -set; -set; Woodin cardinal; Martin's Axiom
UR - http://eudml.org/doc/283296
ER -