Tagged Questions
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Definition of the Infinite Cartesian Product
(1) If $X$ and $Y$ are two sets, we define the Cartesian product $X \times Y$ as the set of ordered pairs $(x,y)$, such that $x \in X$ and $y \in Y$.
(2) On the other hand [Folland, Real Analysis, ...
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set theoretic function, products of sets (product versus Cartesian product)
Regarding the products of functions in axiomatic set theory, two textbooks which I am reading (Halmos; Hrbacek/Jech) have said the following:
"There is a natural one-to-one correspondence between ...
