topological space
set of points and set of neighborhoods that satisfy axioms relating those points to those neighborhoods
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Summary
topological space is a mathematical concept[1]. It ranks in the top 4% of mathematical concept entities by monthly Wikipedia readership (5,131 views/month).[2]
Key Facts
- Named after: space[3]
- Subclass of: mathematical structure[4]
- Part of: Q114728122[5]
- Commons category: Topology[6]
- Has part(s): set[7], topology[8]
- Topic's main category: Category:Topological spaces[9]
- Has characteristic: Lebesgue covering dimension[10], inductive dimension[11], topological property[12], fundamental domain[13], category of topological spaces[14]
- Studied by: general topology[15]
- On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[16]
- Maintained by WikiProject: WikiProject Mathematics[17]
Why It Matters
topological space has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[18] It is known by 49 alternative names across languages and contexts.[19]