Well, that would be within your purview...
I've not heard 'collar' used this way, but it makes sense..
although all these 'location at the edge' type words don't fully convey the specialness of some neighborhoods within them (and maybe not others).
Larchmont, a nifty area in LA, happens not to be on the edge and - I'd have to check - is probably not higher priced than some places nearer to the city line.