Independence of the prime ideal theorem from the Hahn Banach theorem

DOI10.1090/S0002-9904-1972-13025-8zbMath0257.02051MaRDI QIDQ5672899

David Pincus

Publication date: 1972

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

Mathematics Subject Classification ID

Consistency and independence results (03E35) General theory of locally convex spaces (46A03)

Related Items (12)

The Hahn-Banach theorem: The life and times ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Set theory and the analyst ⋮ The strength of de Finetti's coherence theorem ⋮ MULTIPLE CHOICES IMPLY THE INGLETON AND KREIN–MILMAN AXIOMS ⋮ Some consequences of Rado's selection lemma ⋮ On the equivalence in ZF+BPI of the Hahn-Banach theorem and three classical theorems ⋮ Extension of invariant linear functionals: Hahn-Banach in the topos of M- sets ⋮ A globalization of the Hahn-Banach theorem ⋮ Variants on the Berz sublinearity theorem ⋮ Amorphe Potenzen kompakter Räume ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Two applications of the method of construction by ultrapowers to analysis
• Support structures for the axiom of choice
• On the application of Tychonoff's theorem in mathematical proofs
• Axiom of choice for finite sets

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