Ordinal multiplication

Ordinal multiplication extends the concept of multiplication to infinite and ordered sets, much like counting sequences beyond finite numbers. It combines the order types of two sequences by stacking copies of one sequence, indexed by the elements of the other. For example, multiplying an infinite sequence by another essentially creates a larger ordered set, where each point represents a "block" of the second sequence placed in the position of each element in the first. This operation helps mathematicians understand and compare different types of infinite ordered structures by examining how they combine and scale in an ordered context.