(no subject)
A return to a bit of cabin fever. Outside, it's wall-to-wall slush, and my shoes leak, so there's little incentive to leave the house. Maybe some boots are in order at some point in the medium-term future.
On the plus side I had the realization the other day that the funny Poincaré-dual string diagrams the category (co-?)theorists tend to draw actually fit together to form a sheaf on a certain Grothendieck site. I'm beginning to smell that there might be an adjunction between some collection of geometric-flavored objects such as these sheaves and more algebraic gadgets, i.e. (maybe most generally n-)categories themselves.
On the plus side I had the realization the other day that the funny Poincaré-dual string diagrams the category (co-?)theorists tend to draw actually fit together to form a sheaf on a certain Grothendieck site. I'm beginning to smell that there might be an adjunction between some collection of geometric-flavored objects such as these sheaves and more algebraic gadgets, i.e. (maybe most generally n-)categories themselves.