open covering

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open covering

定義4.2. 我們稱A 為compact,若對任意A 上的open covering 恆存在有窮個subcovering 蓋住A。 即:∃Vi}n i=1 ⊂ F 使A ⊂. ∪n. ,We say that C is an open cover if each of its members is an open set (i.e. each Uα is contained in T, where T is the topology on X). A cover of X is said to be locally ... , Definition. Let T=(S,τ) be a topological space. Let C be a cover for S. Then C is an open cover (of T) if and only if: C⊆τ. That is, if and only if all ... ,Open Cover. A collection of open sets of a topological space whose union contains a given subset. For example, an open cover of the real line, with respect to ... , An open cover of a topological space X is a collection Ui⊂X} of open subsets of X whose union equals X: ∪iUi=X. 2. Properties. When denoting ... ,open subsets of X such that E ⊆ Jα∈I Gα. Definition. A subset K of X is compact if every open cover contains a finite subcover. In other words if Gα : α ∈ I} is a ... ,詞條. open cover. 中文. 預約保險. 解釋. 保險公司與被保險人之間的貨運保險合約的一種,其主要內容是:在雙方約定的期限內,被保險人一切裝運出口貨物按約定 ...

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open covering 相關參考資料
Chapter 5 Rn 中的Topology

定義4.2. 我們稱A 為compact,若對任意A 上的open covering 恆存在有窮個subcovering 蓋住A。 即:∃Vi}n i=1 ⊂ F 使A ⊂. ∪n.

http://ocw.aca.ntu.edu.tw

Cover (topology) - Wikipedia

We say that C is an open cover if each of its members is an open set (i.e. each Uα is contained in T, where T is the topology on X). A cover of X is said to be locally ...

https://en.wikipedia.org

Definition:Open Cover - ProofWiki

Definition. Let T=(S,τ) be a topological space. Let C be a cover for S. Then C is an open cover (of T) if and only if: C⊆τ. That is, if and only if all ...

https://proofwiki.org

Open Cover -- from Wolfram MathWorld

Open Cover. A collection of open sets of a topological space whose union contains a given subset. For example, an open cover of the real line, with respect to ...

https://mathworld.wolfram.com

open cover in nLab

An open cover of a topological space X is a collection Ui⊂X} of open subsets of X whose union equals X: ∪iUi=X. 2. Properties. When denoting ...

https://ncatlab.org

Open Covers and Compactness

open subsets of X such that E ⊆ Jα∈I Gα. Definition. A subset K of X is compact if every open cover contains a finite subcover. In other words if Gα : α ∈ I} is a ...

http://people.math.harvard.edu

預約保險,open cover,元照英美法詞典- 免費線上查詢!

詞條. open cover. 中文. 預約保險. 解釋. 保險公司與被保險人之間的貨運保險合約的一種,其主要內容是:在雙方約定的期限內,被保險人一切裝運出口貨物按約定 ...

http://lawyer.get.com.tw