Is there a way to have multisite categories?

As written in the object, I need to assign categories for posts and pages to multiple sites (or at least synchronize them between the sites). I've looked at your plugins, but I didn't find a way to do it. Maybe I have to look better for a specific plugin?

What I need to do:
- define global categories and subcategories
- let those categories be assignable to posts and pages in one or more subsites
- collect posts by categories (this should work like Recent Global Posts)