Measure theory in real life

[jack]

You exist in a universe, one on an infinite continuum. For the sake of argument, assume each has someone just like you in. You want to make something happen in all or some subset of the universe. In the book this was an assassin trying to end an inter-universe disturbance in all universes, and there was some drift -- ie. an area where what was one universe became part of another, continuous in space. So he shot his target, and the bullet vanished as the target shifted, revealing a new target which had -- hopefully -- been shot by another assassin upstream.

So you have tricks like synchronising yourself with ends of ten-minute intervals, to ensure many of you are acting in concert. And rules of thumb like "always use the left door" which are arbitrary but decided in advance mean most of you do the same thing.

In the book, a woman tries to stop him. At first he thinks she's just made a gap in the continuum. Eg. if just one of her made some massive change which drifted visibly downstream -- eg. a big pillar of smoke in the sky -- and every one of her that saw that delayed the assassin, then those assassins would drift downstream and the others wouldn't, so there'd be a solid block of universes near that one.

My question. Do you think that works? And if you were here, how would you direct him from every universe to a cantor set of zero measure?