Comparing the closed almost disjointness and dominating numbers

Dilip Raghavan, and Saharon Shelah. "Comparing the closed almost disjointness and dominating numbers." Fundamenta Mathematicae 217.1 (2012): 73-81. <http://eudml.org/doc/283395>.

@article{DilipRaghavan2012,
abstract = {We prove that if there is a dominating family of size ℵ₁, then there are ℵ₁ many compact subsets of $ω^\{ω\}$ whose union is a maximal almost disjoint family of functions that is also maximal with respect to infinite partial functions.},
author = {Dilip Raghavan, Saharon Shelah},
journal = {Fundamenta Mathematicae},
keywords = {maximal almost disjoint family; dominating family},
language = {eng},
number = {1},
pages = {73-81},
title = {Comparing the closed almost disjointness and dominating numbers},
url = {http://eudml.org/doc/283395},
volume = {217},
year = {2012},
}

TY - JOUR
AU - Dilip Raghavan
AU - Saharon Shelah
TI - Comparing the closed almost disjointness and dominating numbers
JO - Fundamenta Mathematicae
PY - 2012
VL - 217
IS - 1
SP - 73
EP - 81
AB - We prove that if there is a dominating family of size ℵ₁, then there are ℵ₁ many compact subsets of $ω^{ω}$ whose union is a maximal almost disjoint family of functions that is also maximal with respect to infinite partial functions.
LA - eng
KW - maximal almost disjoint family; dominating family
UR - http://eudml.org/doc/283395
ER -