An intermediate ring is a ring 𝐴 (𝑋) of real-valued continuous functions on 𝑋 containing all the bounded continuous functions. In this paper, we find new characterizations of 𝑃-spaces 𝑋 in terms ...

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 ...

Technical Terms Bernstein polynomials: Polynomial functions that serve as building blocks for approximating continuous functions on closed intervals.