There are certainly dodgy bits of this city. I haven't really shown them here on my blog, because really when you're walking through the shadier bits of town is not the time that you take out your camera.
I have found that Mexicans are a lot more cautious than us exchange students and travellers. And, for our better part we should really be listening to them.
Like my desire to check out Tepito - a large sprawling market famous for counterfeit and grime. The other day I cheerfully announced to Elias, my mex boyfriend ´Let´s go to Tepito today´!´, and I was met with a string of cautionary comments and a real reluctance. We didnt go that day, as I had my camera in my bag - but I'm planning to go with nothing but 5 pesos in my pocket and a lot of gumption!
You do hear of people being robbed, often at gunpoint, quite often. However all the same I do feel safe and not freaked out. But you gotta be smart.