Cohomology Detects Failures of the Axiom of Choice

DOI10.2307/1999384zbMath0532.04002OpenAlexW4232297660MaRDI QIDQ3313862

Andreas Blass

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999384

zbMATH Keywords

permutation modelsequivalents of the axiom of choiceFraenkel- Mostowski modelstriviality of first cohomology groups

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35) Axiom of choice and related propositions (03E25)

Related Items (5)

Applications of cohomology to set theory. I: Hausdorff gaps ⋮ Applications of cohomology to set theory. II: Todorčević trees ⋮ Unions and the axiom of choice ⋮ The weak choice principle WISC may fail in the category of sets ⋮ On sheaf cohomology and natural expansions

Cites Work

• Unnamed Item
• Limitations on the Fraenkel-Mostowski method of independence proofs
• Finite axioms of choice
• Axiom of choice for finite sets
• The axiom of choice

This page was built for publication: Cohomology Detects Failures of the Axiom of Choice