Talk:Category of elements

Confusing

- First point: this notion seems to be unrelated (or not naively related) to that of Element (category theory)

- Second: I don't agree with the reformulation with the comma category which for me means a category of "arrows with a common domain/source". Not only the source can be different but on has to pick an element $a\in F(A)$. Noix07 (talk) 10:28, 1 July 2015 (UTC)

Finally: 1) $\lbrace \ast \rbrace \rightarrow F(A)$ is indeed an "element" of F(A)

2) the source is always $\ast$ indeed, but in the coslice category (arrows with common source) the object are pairs (A,a) where F(A) is the target and a is actually an arrow $\lbrace \ast \rbrace \rightarrow F(A)$ because in that specific category Set, a map from $\ast$ to F(A) just picks an element.

Noix07 (talk) 12:59, 1 July 2015 (UTC)