Some algebraic equivalent forms of $\mathbb {R}\subseteq L$

DOI10.4064/fm643-10-2018zbMath1480.03040arXiv1601.04433OpenAlexW2962879615MaRDI QIDQ5226507

Silvia Steila

Publication date: 31 July 2019

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04433

zbMATH Keywords

continuum hypothesisalgebraically independent setsconstructible realsavoidable polynomialsrationally independent sets

Mathematics Subject Classification ID

Descriptive set theory (03E15) Inner models, including constructibility, ordinal definability, and core models (03E45) Continuum hypothesis and Martin's axiom (03E50)

Cites Work

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• Countable decompositions of \({\mathbb{R}}^2\) and \({\mathbb{R}}^3\)
• Infinite combinatorics and definability
• Descriptive set theory
• Problems and theorems in classical set theory
• THE COUNTERPARTS TO STATEMENTS THAT ARE EQUIVALENT TO THE CONTINUUM HYPOTHESIS
• Definable Davies' theorem
• Countable partitions of Euclidean space
• Avoidable algebraic subsets of Euclidean space
• On non-denumerable graphs

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