existence of partitions of unity

Theorem - Let $X$ be a paracompact Hausdorff space and ${\{U_i\}}_{i\in J}$ an open covering of $X$. Then there exists a partition of unity on $X$ subordinate to ${\{U_i\}}_{i\in J}$.

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