however the Edge is NO "master" at the guitar. He has a definite style all his own but he could not rival many other guitarists even in the rock genre ( Page, Hendricks, Townsend, etc.)
Sorry folks, the Edge is just NOT that type of guitar player.
May I shout for just a moment, because this (not just you Juliana, but several of the last couple posts) makes me want to scream:
THERE IS MORE TO GUITAR PLAYING THAN LEAD GUITAR AND SOLOING!
Ahem, okay, now I'm calm.
I repeat myself: there is the forgotten art of rhythm guitar and accompaniment.
My opinion is that if you can't comp (a jazz term, look it up) for a singer (whether jazz, folk, rock or funk) you can't play.
The Edge can definitely back a singer, especially one singer! In fact one cannot imagine U2 songs without those guitar parts.
Now, I am not dissing many of the great guitar players many of you have mentioned because they are great soloists and can also play rhythm, but not all great guitarists were/are lead players: consider Freddie Green, Jimmy Nolen, Curtis Mayfield, Avi Bortnick, Andy Summers, James Taylor, Tuck Andress, to name a few - all masters of rhythm guitar or guitar accompaniment.