"du'u" is an abstractor, which means that it takes an embedded bridi and then refers to something about that bridi. "nu" refers to the event of the bridi happening. "si'o" refers to an idea of the bridi as had by some thinker. "du'u" refers to the very fact of the bridi, the fact that (such and such).
lo nu mi klama le zarci [kei] [ku] = an event of "i go to the store"... lo nu mi klama le zarci cu fasnu (i go to the store is a fasnu, it happens.. it's an event)
lo si'o mi klama le zarci [kei] [ku] = an idea of "i go to the store".. mi te sidbo fi lo si'o mi klama le zarci (i have an idea of me going to the store)
lo du'u mi klama le zarci [kei] [ku] = the very fact that i go to the store.. xu do krici lo du'u mi klama le zarci (do you believe the fact "i go to the market"?) .i mi djuno lo du'u zo du'u cu cinri (i know the fact that "the word du'u is interesting")
Most gismu about believing or knowing or whatever will have a "du'u" place. If you know that I went to the store, you don't actually know the event itself of me going to the store. You don't know the idea of me going, either, you think the idea of me going. What you do to my going is to know the fact of it, the du'u of it.
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