2013/11/14 by Kyle Austin, Austin, Kyle, Jerzy Dydak +1
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Topology and Set Theory #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.1311.3679
The aim of this paper is to prove all well-known metrization theorems using partitions of unity. To accomplish this, we first discuss sufficient and necessary conditions for existence of U-small partitions of unity (partitions of unity subordinated to an open cover U of a topological space X).