Ordinals and Distribution Modulo 1

An ordinal is a set of real numbers that does not have an infinite decreasing subsequence. For some sets $A$ of integers and real numbers $x$, the set $\{x a \bmod 1: a \in A\}$ is an ordinal.

We (joint work with Hamkins and Blair) explore when this happens, and which order-types of ordinals can arise.

Kevin O'Bryant