compact space
topological space in which from every open cover of the space, a finite cover can be extracted
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compact space
Summary
compact space has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[1]
Key Facts
- compact space is a type of paracompact space[2].
- compact space is a type of locally compact space[3].
- compact space is a type of hemicompact space[4].
- compact space is a type of countably compact space[5].
- compact space is a type of feebly compact space[6].
- compact space's Commons category is recorded as Compact space[7].
- compact space's topic's main category is recorded as Category:Compactness (mathematics)[8].
- compact space's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[9].
- compact space's has characteristic is recorded as compactness[10].
- compact space's has characteristic is recorded as fixed-point property[11].
- compact space's studied by is recorded as general topology[12].
- compact space's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[13].
- compact space's maintained by WikiProject is recorded as WikiProject Mathematics[14].
Body
Definition and Type
Recorded subclass of include paracompact space[2], locally compact space[3], hemicompact space[4], countably it[5], and feebly it[6].
Why It Matters
compact space has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[1] It is known by 84 alternative names across languages and contexts.[15]