About this document
Normality of Metric Spaces and The Shrinking Lemma: S S S S S 1 S A A B 1 1 by Avijit Samanta is a document available to read on EtoBox.
The document defines normality of metric spaces and proves the shrinking lemma. It defines a normal topological space as one where disjoint closed subsets have disjoint open neighborhoods. It then proves that all metric spaces are normal by constructing a Urysohn function that separates closed sets. Finally, it proves the shrinking lemma, which allows shrinking open covers in normal spaces.
- Author
- Avijit Samanta
- Language
- EN