##  [Net](/net) 

  ##  [Net](https://puremath.quantumdictionary.io/net-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A net (or Moore–Smith net) in a space X is a function x: D → X from a directed set (D, ≤) into X. Nets generalize sequences by allowing arbitrary directed indexing sets so they can capture convergence in spaces that are not first countable.