I have a question about the usage of the preposition "***across***" [here](https://www.timeshighereducation.com/world-university-rankings/2016/world-ranking#!/page/0/length/25/sort_by/rank_label/sort_order/asc/cols/rank_only): 

> 
> The Times Higher Education World University Rankings 2015-2016 list the best global universities and are the only international university performance tables to judge world class universities ***across*** all of their core missions - teaching, research, knowledge transfer and international outlook. 
> 
> 
> 

I understand usages of "*across*" like these: 

> 
> dialogues ***across*** ethnic groups  
> 
>  cooperation ***across*** national borders 
> 
> 
> 

But, I don't quite get the pattern "*judge universities* ***across*** *some criteria*". But "*judge universities* ***on*** *some criteria*" seems better. 

Would replacing "*across*" with "*on*": 

> 
> ...the only international university performance tables to judge world class universities ***on*** all of their core missions...
> 
> 
> 

be better?