I guess by fair number you mean 1% of what many other parts of the city have to deal with. Seriously, there is one homeless woman living under the (narrow, dark) bike underpass near the dog park, two homeless folks who routinely mosey up Fox Hollow, one creepy guy who goes to Tugman a few times a week and some rare appearances of not-ready-for-prime-time folks along Amazon. I can encounter more than that just walking to the store in my neighborhood. 

At least South Eugene gets police services. The rest of us pay for them, but they are withheld from us in favor of taking care of downtown and the south side, coincidentally where senior city staff live and work.