Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658578 | Topology and its Applications | 2014 | 9 Pages |
Abstract
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 UU-small partitions of unity (partitions of unity subordinated to an open cover UU of a topological space X).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Kyle Austin, Jerzy Dydak,