Definition:Pseudocompact Space

Definition

Let $T = \struct {S, \tau}$ be a topological space.

$T$ is pseudocompact if and only if every continuous real-valued function on $S$ is bounded.

Also see

• Results about pseudocompact spaces can be found here.

Sources

• 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $3$: Compactness: Global Compactness Properties