Crossword Genius

Separate people struggle for universal supremacy (5,4)

Ross

I believe the answer is:

space race

I'm a little stuck... Click here to teach me more about this clue!

'struggle for universal supremacy' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.

'separate people' is the wordplay.
'separate' becomes 'space' (I can't justify this - if you can you should believe this answer much more).
'people' becomes 'race' (people can mean a national group or race).
'space'+'race'='SPACE RACE'

Can you help me to learn more?

(Another definition for space race that I've seen is " Aerial competition".)

I've seen this clue in The Guardian.
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