#### Howdy, Stranger!

It looks like you're new here. If you want to get involved, click one of these buttons!

Options

# Notes Exercise 3.19

edited February 2020

For each of the following statements about an object c, decide if it is equivalent to the statement “c is terminal”. If so, provide a proof, if not, find a category in which they are not.

1. The object c has a unique global element.

2. There exists another object d for which there is a unique generalized element of shape d in c.

3. For all objects d, there is a unique generalized element of each shape d in c

It seems 2 and 3 are straightforward, but 1 got me totally confused. To avoid spoilers - any hints to get started?

(To be clear - I am trying something out but got confused because what I currently have doesn't match my intuition)

• Options
1.

Guess my "intuition" should be called "baseless guessing" - turns out it's much easier to think about this using the category of sets and partial functions.

Comment Source:Guess my "intuition" should be called "baseless guessing" - turns out it's much easier to think about this using the category of sets and partial functions.