The tree property at both ${\aleph }_{\omega +1}$ and ${\aleph }_{\omega +2}$

Laura Fontanella, and Sy David Friedman. "The tree property at both $ℵ_{ω+1}$ and $ℵ_{ω+2}$." Fundamenta Mathematicae 229.1 (2015): 83-100. <http://eudml.org/doc/283127>.

@article{LauraFontanella2015,
abstract = {We force from large cardinals a model of ZFC in which $ℵ_\{ω+1\}$ and $ℵ_\{ω+2\}$ both have the tree property. We also prove that if we strengthen the large cardinal assumptions, then in the final model $ℵ_\{ω+2\}$ even satisfies the super tree property.},
author = {Laura Fontanella, Sy David Friedman},
journal = {Fundamenta Mathematicae},
keywords = {tree property; large cardinals; successors of singular cardinals},
language = {eng},
number = {1},
pages = {83-100},
title = {The tree property at both $ℵ_\{ω+1\}$ and $ℵ_\{ω+2\}$},
url = {http://eudml.org/doc/283127},
volume = {229},
year = {2015},
}

TY - JOUR
AU - Laura Fontanella
AU - Sy David Friedman
TI - The tree property at both $ℵ_{ω+1}$ and $ℵ_{ω+2}$
JO - Fundamenta Mathematicae
PY - 2015
VL - 229
IS - 1
SP - 83
EP - 100
AB - We force from large cardinals a model of ZFC in which $ℵ_{ω+1}$ and $ℵ_{ω+2}$ both have the tree property. We also prove that if we strengthen the large cardinal assumptions, then in the final model $ℵ_{ω+2}$ even satisfies the super tree property.
LA - eng
KW - tree property; large cardinals; successors of singular cardinals
UR - http://eudml.org/doc/283127
ER -