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Results tagged with measure-theory
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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
122
votes
Axiom of choice, Banach-Tarski and reality
There are two ingredients in the Banach-Tarski decomposition theorem:
The notion of space, together with derived notions of part and decomposition.
The axiom of choice.
Most discussion about the the …
- 48.8k
28
votes
Accepted
Is there a probability theory developed in intuitionistic logic?
The title of the question is a bit of a misnomer, or at least has the potential to cause confision. "Intutionistic probability theory" means to me "theory of probability developed in intuitionistic lo …
- 48.8k
1
vote
Is there a natural measurable structure on the $\sigma$-algebra of a measurable space?
One way to approach this would be to ask the same question inside a suitable topos in which "everything is measurable" and such that each object is naturally equipped with the structure of a $\sigma$- …
- 48.8k