Definition:Pseudocompact Space
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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