Incomparable families and maximal trees

G. Campero-Arena, et al. "Incomparable families and maximal trees." Fundamenta Mathematicae 234.1 (2016): 73-89. <http://eudml.org/doc/286456>.

@article{G2016,
abstract = {We answer several questions of D. Monk by showing that every maximal family of pairwise incomparable elements of 𝒫(ω)/fin has size continuum, while it is consistent with the negation of the Continuum Hypothesis that there are maximal subtrees of both 𝒫(ω) and 𝒫(ω)/fin of size ω₁.},
author = {G. Campero-Arena, J. Cancino, M. Hrušák, F. E. Miranda-Perea},
journal = {Fundamenta Mathematicae},
keywords = {Boolean algebra; antichain; incomparable family; tree; cardinal invariant},
language = {eng},
number = {1},
pages = {73-89},
title = {Incomparable families and maximal trees},
url = {http://eudml.org/doc/286456},
volume = {234},
year = {2016},
}

TY - JOUR
AU - G. Campero-Arena
AU - J. Cancino
AU - M. Hrušák
AU - F. E. Miranda-Perea
TI - Incomparable families and maximal trees
JO - Fundamenta Mathematicae
PY - 2016
VL - 234
IS - 1
SP - 73
EP - 89
AB - We answer several questions of D. Monk by showing that every maximal family of pairwise incomparable elements of 𝒫(ω)/fin has size continuum, while it is consistent with the negation of the Continuum Hypothesis that there are maximal subtrees of both 𝒫(ω) and 𝒫(ω)/fin of size ω₁.
LA - eng
KW - Boolean algebra; antichain; incomparable family; tree; cardinal invariant
UR - http://eudml.org/doc/286456
ER -