connected space
topological space that cannot be written as the disjoint union of two nonempty open subsets
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connected space
Summary
connected space is a productive property[1]. It draws 292 Wikipedia views per month (productive_property category, ranking #1 of 2).[2]
Key Facts
- connected space's instance of is recorded as productive property[3].
- connected space's GND ID is recorded as 4151264-9[4].
- connected space's subclass of is recorded as topological space[5].
- connected space's Commons category is recorded as Connected space[6].
- connected space's Freebase ID is recorded as /m/01vnt[7].
- connected space's different from is recorded as path-connected space[8].
- connected space's defining formula is recorded as \forall U\in\operatorname{Open}(X)\colon (X\setminus U\in\operatorname{Open}(X) \iff U\in{\varnothing,X})[9].
- connected space's MathWorld ID is recorded as ConnectedSet[10].
- connected space's Encyclopædia Universalis ID is recorded as connexite-mathematique[11].
- connected space's maintained by WikiProject is recorded as WikiProject Mathematics[12].
- connected space's Microsoft Academic ID is recorded as 24977911[13].
- connected space's Brilliant Wiki ID is recorded as connected-space[14].
- connected space's OpenAlex ID is recorded as C24977911[15].
- connected space's Metamath statement ID is recorded as df-conn[16].
Why It Matters
connected space draws 292 Wikipedia views per month (productive_property category, ranking #1 of 2).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[17] It is known by 3 alternative names across languages and contexts.[18]