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New page: inclusion-exclusion principle
The principle of inclusion and exclusion is essentially a sheaf condition for measures;
Genius! I’ll have to remember this one.
I just thought of that, wondering what to put as the introduction.
There’s another POV on inclusion-exclusion: as a special case of Möbius inversion in lattices (the page on Moebius inversion could use some work). Comparison to the sheaf-theoretic insight should be worked out and recorded.
Yet another viewpoint on inclusion-exclusion is that it is a manifestation of the additivity of traces and Euler characteristics under colimits. Of course there is a connection to Mobius inversion through Leinster’s work.
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