Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Currying and uncurrying is defined between functions in $Z^{X \times Y}$ (the first set) and $\left( Z^Y \right)^X$ (the second set).

But what if $Y$ is not a constant but is dependent on $X$?

The first set would become $Z^{\sum_{i\in X}Y_i}$.

What may be a proper expressing for the second set in the case of dependent $Y$?

share|improve this question
    
Does $\Sigma$ refer to the coproduct in $\mathsf{Set}$? –  John Stalfos Apr 13 '12 at 16:07
    
@John Stalfos: Yes. –  porton Apr 13 '12 at 16:16
add comment

1 Answer 1

up vote 2 down vote accepted

It seems that I found a solution myself:

the first set: $Z^{\sum_{i \in X} Y_i}$

the second set: $\prod_{i \in X} Z^{Y_i}$

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.