The independence of the axiom of choice from the Boolean prime ideal theorem
From MaRDI portal
Publication:5529479
DOI10.4064/fm-55-1-57-66zbMath0151.01002OpenAlexW2167901711WikidataQ114573858 ScholiaQ114573858MaRDI QIDQ5529479
Publication date: 1964
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/213795
Related Items
The point of pointless topology, Ordering infinite utility streams comes at the cost of a non-Ramsey set, Uniquely determined uniform probability on the natural numbers, The Hahn-Banach theorem: The life and times, A classification of fully residually free groups of rank three or less, ALMOST DISJOINT AND MAD FAMILIES IN VECTOR SPACES AND CHOICE PRINCIPLES, Algebraic completion without the axiom of choice, On Hausdorff operators in ZF$\mathsf {ZF}$, On the deductive strength of the Erdős-Dushnik-Miller theorem and two order-theoretic principles, A note on the deductive strength of the Nielsen‐Schreier theorem, On the equivalence in ZF+BPI of the Hahn-Banach theorem and three classical theorems, Fleurbaey-Michel conjecture on equitable weak Paretian social welfare order, Partitions of Products, Generating sets of free groups and the axiom of choice, Four studies in metamathematics, Levy and set theory, The existence of non-trivial bounded functionals implies the Hahn-Banach extension theorem, Amorphe Potenzen kompakter Räume, W.A.J. Luxemburg's Beweis des Satzes von Hahn-Banach, Finiteness conditions and distributive laws for Boolean algebras, Coloring infinite graphs and the Boolean prime ideal theorem, On a theorem of Kurepa for partially ordered sets and weak choice, On Krull's separation lemma, Correction to my paper on the colouring of infinite graphs and the theorem of Kuratowski, On the interrelation of a theorem of Juhász and certain weak axioms of choice