ALMOST DISJOINT AND MAD FAMILIES IN VECTOR SPACES AND CHOICE PRINCIPLES
DOI10.1017/jsl.2021.91OpenAlexW3210795967MaRDI QIDQ5100050
Publication date: 29 August 2022
Published in: The Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/jsl.2021.91
vector spaceaxiom of choiceweak axioms of choicefinite-dimensional vector spacePincus' transfer theoremsinfinite-dimensional vector spaceJech-Sochor first embedding theoremalmost disjoint family in a vector spaceMAD family in a vector spacepermutation model of \textsf{ZFA} set theory
Consistency and independence results (03E35) Vector spaces, linear dependence, rank, lineability (15A03) Axiom of choice and related propositions (03E25)
Cites Work
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- No decreasing sequence of cardinals
- Auswahlaxiom in der Algebra
- Set theory. An introduction to independence proofs
- On Martin's Axiom and Forms of Choice
- Adding dependent choice
- On certain non-constructive properties of infinite-dimensional vector spaces
- Set Theory
- Almost disjoint families: an application to linear algebra
- The Boolean prime ideal theorem does not imply the extension of almost disjoint families to MAD families
- On infinite‐dimensional Banach spaces and weak forms of the axiom of choice
- On the existence of almost disjoint and MAD families without $\mathsf {AC}$
- MADNESS IN VECTOR SPACES
- The independence of the axiom of choice from the Boolean prime ideal theorem
- Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods
- The axiom of choice
- MA(ℵ0) restricted to complete Boolean algebras and choice
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