閉包 (位相空間論)
Sign in to saveAlso known as set closure
in a topological space, the smallest closed set containing a given set
In the Vinony graph
Vinony's link graph records 201 inbound references to 閉包 (位相空間論), and connects out to subset, continuous function and manifold.
It sits within the topics Closure operators and General topology.
Vinony links it to 25 Wikipedia language editions.
Wikidata facts
- Instance of
- closure operator
- Subclass of
- topological subspace
- Has parts of class
- adherent point
Show 4 more facts
- studied by
- general topology
- maintained by WikiProject
- WikiProject Mathematics
- described at URL
- www.spektrum.de/lexikon/mathematik/abgeschlossene-huelle/489
- facet of
- mathematical analysis
Sources (1)
via Wikidata · CC0
Article · 日本語
数学において、位相空間の部分集合の閉包（へいほう、英: closure）は、その部分集合の触点（部分集合の点とそれらの集積点）を全て集めて得られる集合である。直観的には、部分集合の触点とはその部分集合の「いくらでも近く」にある点と考えられる。閉包の概念は様々な意味で開核の概念の双対になっている。
Abstract from DBpedia / Wikipedia · CC BY-SA
Connections
subset
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continuous function
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manifold
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power set
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ball
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dense set
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limit point
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subspace topology
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discrete space
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trivial topology
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topological manifold
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open and closed maps
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International Standard Book Number
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complex number
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real number
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topology
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rational number
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sphere
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Internet Archive
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sequence
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