Arcs and arc chains

Jimmie Lawson had presented some results about chains in partially ordered spaces at the ISDT conference in 2022, which I wanted to talk about. But this requires Koch’s arc theorem, so I decided to talk about the latter first. That theorem is about arcs, and I decided to explain a few basic things about arcs, and their close cousins, the arc chains. This topic expanded so much that, in the end, this is the only thing I will talk about this month. In short: every arc chain is an arc, and arc chains can be characterized purely order theoretically. Read the full post.