I've read Graham Priest's book One (2014). Where he offers a what he calls "gluon" theory of parts and wholes. (These are metaphysical gluons which are not related to gluons from particle physics, only the term is borrowed.) Priest's theory is an pretty interesting, but it seems to have a high cost. Not only are gluons wildly contradictory entities, but the relation of metaphysical identity must be non-transitive.
Priest's book was my introduction to the metaphysics and logic of parts and wholes (mereology). I am wondering what are other good articles or books to get a sense of the other major positions in this field and how they relate to each other. I'm more interested in metaphysically engaged philosophy as opposed to purely abstract mathematical approaches, but I'm fine if math is deployed in the process of addressing metaphysical issues. I'd like to look at work where philosophers seriously engage with the paradoxes and vicious regresses that arise in considering part-whole relations. For example, Bradley's regress or the ancient paradoxes of the one and the many.
For the more mathematically inclined among you, I'm particularly interested to know if anybody has attempted to give a mereological theory that uses terminal coalgebras (But that is a bonus if anybody knows, it isn't required to answer my question).