Originally posted by GScholz
Yes, air supremacy means that you're practically alone in the sky and can use all your aircraft for offensive air-ground operations. Air superiority means that you control the sky, but still have to allocate aircraft to interdict enemy air operations (in this context that means escort fighters and airfield denial operations by fighter-bombers).
Is this really so difficult to understand?
and this is your definition I take it? Where did this definition originate? I must have missed the source earlier in the thread.
Just looking around for other definitions of supremacy
SUPREMACY
WordNet Dictionary
Definition: [n] power to dominate or defeat; "mastery of the seas" (Or mastery of the air as the case may be)
Synonyms: domination, mastery
See Also: ascendance, ascendancy, ascendence, ascendency, control, dominance, superiority, transcendence, transcendency
Note the see also: Superiority.
So did the Allies not dominate, control, have mastery of the air?

Check this guy out:
http://www.butler98.freeserve.co.uk/thtrlosses.htmLuftwaffe losses 43-44. He claims more losses in the Western front for the Luftwaffe.
He also states that "Allied Air Supremacy" facillitated the Allied invasion of France. And this guy is clearly a Luftwaffe fanatic.
He interchanges Air Superiority with Air Supremacy too.
So his definition is wrong and yours is the only one we can go by?
Oops it's Donald Caldwell's site on JG26. He must be wrong then

Dan/Slack