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 ...

This is a preview. Log in through your library . Abstract We define a quasi-order on Borel functions from a zero-dimensional Polish space into another that both refines the order induced by the Baire ...