Based on that definition, it sounds to me like the 3 terms are related to each other like this:
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A level is the smallest unit out of the 3 terms.
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A world is a the group of levels connected together. If there is only 1 level developed, then the world and level are the same thing. I suppose if you have 4 levels 1,2,3,4; and only 1 & 2 are connected, while 3 and 4 are separate from everything else, then you have 3 worlds: (1,2),(3),(4)?
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all levels and worlds are considered maps. So a map is a general term to describe things in common with levels and worlds
Is what I said above correct?