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math.GM2010
On the Stochastic Burgers Equation and the Axiom of Choice
John M. Noble
The equivalence of the Choice Axiom and Tychonov compactness was proved by Kelley in 1950. Tychonov compactness is required to prove existence of the minimiser of an action functio…
math.GM2008
On the Inviscid Burgers Equation and the Axiom of Choice
John M. Noble
The article considers the Choice Axiom.