# weak topology

(redirected from*Weak-* topology*)

## weak topology

[′wēk tə′päl·ə·jē] (mathematics)

A topology on a topological vector space

*X*whose open neighborhoods around a point*x*are obtained from those points*y*of*X*for which every ƒ_{i }(*x*) is close to ƒ_{i }(*y*), ƒ_{i }appearing in a finite list of linear functionals.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.

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