The Bridge by Rebecca Rogers Maher
This is a novella about two people who meet at the top of the Brooklyn Bridge as each is about to jump to their deaths. The decide they cannot in good conscience kill themselves when they have a chance to save the other. They agree to spend 24 hrs together trying to convince the other to live. They each get to pick 3 things to do around NYC, and one of those is swim at the top of a building.
This was a really good novella and I don't think it shied away from it's subject matter, and I actually believed the relationship between these two. Highly recommended.