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
Similarity:
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)
Fundamenta Mathematicae
Similarity:
The independence of the axiom of choice from the Boolean prime ideal theorem
J. Halperin (1964)
Fundamenta Mathematicae
Similarity:
A proof of the independence of the Axiom of Choice from the Boolean Prime Ideal Theorem
Miroslav Repický (2015)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
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
D. Edwards (1975)
Fundamenta Mathematicae
Similarity:
Axiomatic and algebraic aspects of two theorems on sums of cardinals
Alfred Tarski (1948)
Fundamenta Mathematicae
Similarity:
Alternative axioms for statistical physical theories
C. M. Edwards (1975)
Annales de l'I.H.P. Physique théorique
Similarity:
Some propositions equivalent to the Sikorski Extension Theorem for Boolean algebras
J. Bell (1988)
Fundamenta Mathematicae
Similarity:
A remark on Sikorski's extension theorem for homomorphisms in the theory of Boolean algebras
W. Luxemburg (1964)
Fundamenta Mathematicae
Similarity: