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Compact space
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Words: 202
Articles: 6
A topological space is compact when every open cover has a finite subcover. Every closed subspace of a compact space is compact.
Table of contents
202
6
Continuous image of a compact space
Compact space
29
Quotient of a compact space
Compact space
16
Lebesgue number lemma
Compact space
28
Normality of a compact Hausdorff space
Compact space
33
Locally compact space
Compact space
74
1
Compactly detected closed-set theorem in a locally compact Hausdorff space
Locally compact space
42
Ancestors
(5)
Topology
Geometry and topology
Area of mathematics
Mathematics
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(6)
Extreme value theorem
Solution
Solution
Solution
Solution
Supremum norm
Synonyms
(2)
Compact
Compact set