A countable dense homogeneous set of reals of size ℵ₁

• Autorzy: Ilijas Farah , Michael Hrušák , Carlos Azarel Martínez Ranero
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 54E52: Baire category, Baire spaces
• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 186
• Numer: 1
• Strony: 71-77

Daty

wydano

2005

Twórcy

autor

Ilijas Farah

• Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Canada M3J 1P3
• Matematicki Institut, Kneza Mihaila 35, 11000 Beograd, Serbia and Montenegro

autor

Michael Hrušák

• Instituto de Matemáticas, UNAM, Unidad Morelia, A.P. 61-3, Xangari, C.P. 58089, Morelia, Mich., México

autor

Carlos Azarel Martínez Ranero

• Instituto de Matemáticas, UNAM, Unidad Morelia, A.P. 61-3, Xangari, C.P. 58089, Morelia, Mich., México

Identyfikatory

DOI

10.4064/fm186-1-5