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 ...

We say that a linear subspace A of C0(X) is strongly separating if given any pair of distinct points $x_{1},x_{2}$ of the locally compact space X, then there exists f ...