Lecture 5a: Functional Analysis - Nowhere dense sets

The first part of the fifth class in Dr Joel Feinstein's Functional Analysis module covers proofs that countably infinite complete metric spaces must have isolated points. Nowhere dense sets and nowhere dense closed sets. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resource... and on iTunes U: http://itunesu.nottingham.ac.uk/album... Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. See playlist for more videos in this series:    • Lecture 1: Functional Analysis