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## Main Question or Discussion Point

It roughly says there exists a continous function from a normal space X to some interval [a,b]

Since the the space is a normal space, there exist two disjoints closed subsets A and B.

What I don't understand is how can you associate some abstract space with a real interval and is continous as well?

Since the the space is a normal space, there exist two disjoints closed subsets A and B.

What I don't understand is how can you associate some abstract space with a real interval and is continous as well?