so, my friend erica had the most splendid screeen name.

"There is no finite sub cover which contains your mom, therefore your mom is not compact."

and yeah. she totally doesn't understand it. and i don't have anybody i can tell who will right now. so i must remember it for tomorrow. although, technically, your mom should be both closed & bounded in R-3 so there should be a finite subcovering...

edit: okay, okay, okay. i get it.