A countable dense homogeneous set of reals of size $\aleph_1$
Fundamenta Mathematicae, Tome 186 (2005) no. 1, pp. 71-77
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We prove there is a countable dense homogeneous subspace of
$\Bbb R$ of size~$\aleph_1$.
The proof involves an absoluteness argument using an extension of the
$L_{\omega_1\omega}(Q)$ logic obtained
by adding predicates for Borel sets.
Keywords:
prove there countable dense homogeneous subspace bbb size aleph proof involves absoluteness argument using extension omega omega logic obtained adding predicates borel sets
Affiliations des auteurs :
Ilijas Farah 1 ; Michael Hrušák 2 ; Carlos Azarel Martínez Ranero 2
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author = {Ilijas Farah and Michael Hru\v{s}\'ak and Carlos Azarel Mart{\'\i}nez Ranero},
title = {A countable dense homogeneous set of reals of size $\aleph_1$},
journal = {Fundamenta Mathematicae},
pages = {71--77},
publisher = {mathdoc},
volume = {186},
number = {1},
year = {2005},
doi = {10.4064/fm186-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm186-1-5/}
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Ilijas Farah; Michael Hrušák; Carlos Azarel Martínez Ranero. A countable dense homogeneous set of reals of size $\aleph_1$. Fundamenta Mathematicae, Tome 186 (2005) no. 1, pp. 71-77. doi: 10.4064/fm186-1-5
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