# Cauchy net

Also found in: Wikipedia.

## Cauchy net

[′kō·shē ‚net] (mathematics)

A net whose members are elements of a topological vector space and which satisfies the condition that for any neighborhood of the origin of the space there is an element

*a*of the directed system that indexes the net such that if*b*and*c*are also members of this directed system and*b*≥*a*and*c*≥*a*, then*x*-_{b}*x*is in this nieghborhood._{c}Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

Link to this page: