A countable dense homogeneous set of reals of size ℵ₁

Ilijas Farah, Michael Hrušák, and Carlos Azarel Martínez Ranero. "A countable dense homogeneous set of reals of size ℵ₁." Fundamenta Mathematicae 186.1 (2005): 71-77. <http://eudml.org/doc/282770>.

@article{IlijasFarah2005,
abstract = {We prove there is a countable dense homogeneous subspace of ℝ of size ℵ₁. The proof involves an absoluteness argument using an extension of the $L_\{ω₁ω\}(Q)$ logic obtained by adding predicates for Borel sets.},
author = {Ilijas Farah, Michael Hrušák, Carlos Azarel Martínez Ranero},
journal = {Fundamenta Mathematicae},
keywords = {countable dense homogeneous; ; -set},
language = {eng},
number = {1},
pages = {71-77},
title = {A countable dense homogeneous set of reals of size ℵ₁},
url = {http://eudml.org/doc/282770},
volume = {186},
year = {2005},
}

TY - JOUR
AU - Ilijas Farah
AU - Michael Hrušák
AU - Carlos Azarel Martínez Ranero
TI - A countable dense homogeneous set of reals of size ℵ₁
JO - Fundamenta Mathematicae
PY - 2005
VL - 186
IS - 1
SP - 71
EP - 77
AB - We prove there is a countable dense homogeneous subspace of ℝ of size ℵ₁. The proof involves an absoluteness argument using an extension of the $L_{ω₁ω}(Q)$ logic obtained by adding predicates for Borel sets.
LA - eng
KW - countable dense homogeneous; ; -set
UR - http://eudml.org/doc/282770
ER -