existence of partitions of unity

Theorem - Let X be a paracompact Hausdorff space and {Ui}iJ an open covering of X. Then there exists a partition of unityMathworldPlanetmath on X subordinate to {Ui}iJ.

Title existence of partitions of unity
Canonical name ExistenceOfPartitionsOfUnity
Date of creation 2013-03-22 17:24:29
Last modified on 2013-03-22 17:24:29
Owner asteroid (17536)
Last modified by asteroid (17536)
Numerical id 5
Author asteroid (17536)
Entry type Theorem
Classification msc 54D20