Countably compact spaces: Difference between revisions

Created page with "== Definition == In topological theory, a branch of mathematics, a countably compact space is a type of topological space with certain compact-like properties. Specifically, a topological space is said to be countably compact if every countable open cover has a finite subcover. This is a weaker condition than compactness, which requires that every open cover, regardless of its cardinality, has a finite subcover. == Properties == Countably compact spaces..."