Arcs and arc chains II: every arc is an arc chain

Last time, we have seen that every arc chain is an arc. This month, we will see that every arc is an arc chain. The proof proceeds by inventing a suitable partial ordering, the cut-point ordering. We will also see that all second-countable arcs (or arc-chains) are isomorphic, in particular they are all isomorphic to [0, 1], and that there are non-second-countable arcs (or arc-chains) of the same cardinality that are not isomorphic. Read the full post.