Hamel bases and well–ordering the continuum

DOI10.1090/proc/14010OpenAlexW2790162563WikidataQ130158378 ScholiaQ130158378MaRDI QIDQ4563669

Liuzhen Wu, Liang Yu, Mariam Beriashvili, Ralf-Dieter Schindler

Publication date: 4 June 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14010

Mathematics Subject Classification ID

Descriptive set theory (03E15) Other classical set theory (including functions, relations, and set algebra) (03E20) Axiom of choice and related propositions (03E25)

Related Items (6)

TREE FORCING AND DEFINABLE MAXIMAL INDEPENDENT SETS IN HYPERGRAPHS ⋮ Mazurkiewicz sets with no well-ordering of the reals ⋮ Preserving Dependent Choice ⋮ Transcendence bases, well-orderings of the reals and the axiom of choice ⋮ How to have more things by forgetting how to count them ⋮ Definable Hamel bases and ${\sf AC}_\omega ({\mathbb R})$

Cites Work

• Set theory. Exploring independence and truth
• Lusin Sets and Well Ordering the Continuum
• Axiom of choice
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