PI Web API Search: How to search for attribute categories?

Currently exploring the features of PI Web API for making a simple web portal based on AF data.

 

But I can not figure out a way to search for attribute categories. (All the interesting data is tagged with a attribute category)

 

It seems that only element categories are searchable and not the attribute categories. I hope is missed something?

 

The data I want to get is: Give me for element X all attributes and child attributes with category Y. (Next action is getting the links / WebID as pointed out by Roger Palmen