Linked from

The 11 pages that link to Partition of unity, each with the reason it gives.

• Open setRelated: Open covers organize the local pieces on which these functions are supported.

• Smooth manifoldRelated: Partitions of unity combine local constructions into global smooth objects.

• ManifoldRelated: Partitions of unity combine local constructions into global ones on many manifolds.

• Open coverRelated: Partitions of unity translate a cover into functions supported in its open sets.

• Normal spaceRelated: Normality helps construct partitions of unity when combined with paracompactness.

• Support (mathematics)Related: Controlled supports let local constructions combine into global ones.

• Urysohn's lemmaRelated: Urysohn functions provide local building blocks for partitions subordinate to suitable covers.

• Stone–Weierstrass theoremRelated: Partitions of unity provide a related way to assemble local approximations into global ones.

• Tietze extension theoremRelated: Partitions of unity use related methods to assemble local continuous data globally.

• Differentiable manifoldRelated: Smooth functions let local constructions be combined into global ones.

• Nagata–Smirnov metrization theoremRelated: Locally finite covers allow continuous functions to be assembled without uncontrolled infinite sums.