Also known as topological basis, topological base, basis
collection of open sets that is sufficient for defining a topology
In the Vinony graph
Within Vinony's link graph, 基 is referenced by 135 other articles, and connects out to neighborhood system, continuous function and topological space.
It is catalogued under the topic General topology.
Its subject is documented across 25 Wikipedia language editions.
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- different from
- basis
- facet of
- topology
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Sources (2)
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Article · 中文
在數學中,帶有拓撲 T 的拓撲空間 X 的基(base 或 basis) B 是 T 中開集的搜集,使得 T 中的所有開集可以被寫為 B 的元素的并集。我們稱基“生成”了拓撲 T。基在拓扑学中有其作用,因為拓撲自身的很多性質可简化成生成拓扑的基的描述,且許多拓撲最容易依據生成它們的基來定義。
Abstract from DBpedia / Wikipedia · CC BY-SA
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