Subject: categories: Does duality categorify?

From: Vaughan Pratt <[email-masked]>
Date: Wed, 26 Apr 2006 09:58:56 -0700

Does duality categorify?  If so, how?  If not, why not?

For example distributive lattices categorify to distributive algebras.
The dual of a distributive lattice is a partially ordered Stone space.
What does categorification do here?

(Apologies if this is an old chestnut.)

Vaughan Pratt