James fell off of a ladder onto a stack of books, now he needs a dichotomy

The rivalry between the East Coast and West Coast incited a dichotomy between the genres of music.

Think of a Magnet... if you were able to split the North end from the South end, that would be a dichotomy of a magnet.

There is a dichotomy in the way democracy is run, the government does not communicate to the people and vice versa.