Also, don't forget line-of-sight. If a person being chased can break LOS, and get into and/or through an area where LOS is broken quickly, then it can become a matter of a stealth vs. perception roll, with a bonus to the pursued for how far ahead they are. This can represent 'he's quite a bit ahead of you when he goes into the marketplace. When you get there, you can see him up a ways - then he goes between two booths. Pushing up to where you saw him go in, you take a look around, but there's a lot of different places he could have gone. Looks like he got away.'
Going into the Cermak Rad Zone is going to be similar; there were buildings there, and some/many of them are probably still relatively intact. Going into a maze like that ...