The Tychonoff product theorem for compact Hausdorff spaces does not imply the axiom of choice: A new Proof. equivalent propositions.
B. R. Salinas, F. Bombal (1973)
Collectanea Mathematica
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Displaying similar documents to “Is 𝓟(ω) a subalgebra?”
The Tychonoff product theorem for compact Hausdorff spaces does not imply the axiom of choice: A new Proof. equivalent propositions.
A theorem of Stone-Čech type, and a theorem of Tychonoff type, without the axiom of choice; and their realcompact analogues
W. W. Comfort (1968)
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The independence of the axiom of choice from the Boolean prime ideal theorem
J. Halperin (1964)
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A proof of the independence of the Axiom of Choice from the Boolean Prime Ideal Theorem
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We present a proof of the Boolean Prime Ideal Theorem in a transitive model of ZF in which the Axiom of Choice does not hold. We omit the argument based on the full Halpern-Läuchli partition theorem and instead we reduce the proof to its elementary case.
Two theorems of functional analysis effectively equivalent to choice axioms
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Some propositions equivalent to the Sikorski Extension Theorem for Boolean algebras
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A remark on Sikorski's extension theorem for homomorphisms in the theory of Boolean algebras
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A geometric form of the axiom of choice
J. Bell, David Fremlin (1972)
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