##  [Network Weight](/network-weight) 

  ##  [Network Weight](https://puremath.quantumdictionary.io/network-weight-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The Network Weight Nw(X) of a space X is the least cardinality of a network for X: a family N of subsets of X such that for every open set U and every point x∈U there is some N∈N with x∈N⊆U (equivalently every open set is the union of members of N contained in it).