ABSTRACT

We refer to the following as the embedding problem: Given a topological space (or topological algebraic structure) X, describe, for each field F, the set of ring topologies S on F such that (F, S) contains a homeomorphic (topologically isomorphic, respectively) image of X. In particular, it is of interest to know if there exists some field F and some ring topology S on F such that (F, S) contains an image of X as above.