Pseudocompact space
Topological space with a bounded image under any continuous function to R / From Wikipedia, the free encyclopedia
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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]