TITLE: Locales and Topology.
QUESTION [35 upvotes]: As someone more used to point-set topology, who is unfamiliar with the inner workings of lattice theory, I am looking to learn about the localic interpretation of topology, of which I only have a limited understanding. As such, I have some questions:

What are some accessible texts or online references on the subject?
What are some recent results in point-free topology that are unique to the subject, i.e., not translations of results from general topology into localic language?

REPLY [4 votes]: As for question 2.: it's hardly recent, but since I didn't see it mentioned in this thread, let me mention that the Tychonoff theorem for locales does not require the axiom of choice and is a piece of purely constructive mathematics. So this cannot be in any way a translation of any of the proofs familiar from general topology; proving it involves genuinely new ideas specific to locale theory. See also this MathOverflow answer to the question "What is your favorite proof of Tychonoff's theorem?", and particularly the comments appearing below.