Tabs Css Question

This might be a simple question...but how can I prevent the tab css
from injecting itself into my ul class elements that live on the tab
page?
In other words, the tabs themselves are using <ul class=ui-tabs-nav>
Then in one of the tab pages we have another <ul> tag that we don't
want the ui-tabs-nav to appear in?
Probably a simple css question I'm hoping ;)