Let F be a complete topological field. We undertake a study of the ring C(X, F) of all continuous F-valued functions on a topological space X whose topology is determined by C(X, F), in that it is the ...
Transactions of the American Mathematical Society, Vol. 159 (Sep., 1971), pp. 335-353 (19 pages) A ring of continuous functions is a ring of the form $C(X)$, the ring ...