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ct.class idea – When aren’t merchandise iterated coproducts? retort

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ct.class idea – When aren’t merchandise iterated coproducts?

Multiplication of unaffected numbers can breathe understood as iterated addition, and we will win binary Cartesian merchandise as clique-indexed coproducts; for units $X$ and $Y$,

$$Xtimes Ycongcoprod_XYcongcoprod_YX.$$

The internalization of listed coproducts is conditional sums, so we necessity these to query the query

What classes with conditional sums does this relationship fail in for objects $X$ and $Y$? Is there a nominate for classes the place this property holds?

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