How do I detect collission W/specific tile from a tileset

ok, this is the issue

i'm working on a platformer game, i'm using tileset for the stages, now, i want my character to hang from the corners, i want to know if there is a way to detect with wich specific tiles i'm collissioning so my character can hang of them.

Btw i know i can use some invisible sprites on the corner and detect collision with them, so the character can hang but i just want to know if there is another way in order to make the game the most light-weight possible as the stages are really large .

thanks in advance!

Not that I know of. You might need to calculate the intersection points of each tile.