In mathematics, in the field of topology, a topological space is said to be pseudocompact if its image under any continuous function to R is bounded. Many authors include the requirement that the space be completely regular in the definition of pseudocompactness. Pseudocompact spaces were defined by Edwin Hewitt in 1948.[1]
- ^ Rings of real-valued continuous functions, I, Trans. Amer. Math. Soc. 64 [1](1948), 45-99.