Proceedings of the American Mathematical Society, Vol. 54, No. 1 (Jan., 1976), pp. 355-359 (5 pages) Let X and Y be topological spaces, let S be a dense subspace of X, and let f: S → Y be continuous.
A completely regular topological space 𝑋 is called a 𝑃-space if every zero-set in 𝑋 is open. An intermediate ring is a ring 𝐴(𝑋) of real-valued continuous functions on 𝑋 containing all the ...
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