# Definition:Refinement of Cover/Finer Cover

(Redirected from Definition:Finer Cover)
Let $S$ be a set.
Let $\UU = \set {U_\alpha}$ and $\VV = \set {V_\beta}$ be covers of $S$.
Let $\VV$ be a refinement of $\UU$.
Then $\VV$ is finer than $\UU$.