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 ...

So far as I am concerned Mr. Frankland answers too soon (p. 170), for I am sorry to say I have not read Klein in the meantime. Therefore my reply is provisional. A hint was given of Mr. Frankland's ...