| Authors: | Farah, Ilijas Hrušák, Michael Ranero, Carlos Azarel Martínez |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | A countable dense homogeneous set of reals of size script N1 | Journal: | Fundamenta Mathematicae | Volume: | 186 | Issue: | 1 | First page: | 71 | Last page: | 77 | Issue Date: | 1-Jan-2005 | Rank: | M22 | ISSN: | 0016-2736 | DOI: | 10.4064/fm186-1-5 | Abstract: | We prove there is a countable dense homogeneous subspace of ℝ of size script N sign1. The proof involves an absoluteness argument using an extension of the Lω1ω(Q) logic obtained by adding predicates for Borel sets. |
Keywords: | Countable dense homogeneous | λ-set | Publisher: | Instytut Matematyczny Polskiej Akademii Nauk |
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