# iTunes U albums

### Album: Level 3 Mathematics

## Track: The Baire Category Theorem - Dr Joel Feinstein

**Description:**
This is a lecture from Dr Feinstein's 4th-year module G14FUN Functional Analysis.
See also Dr Feinstein's blog at http://explainingmaths.wordpress.com/ and, in particular, the associated blog post at http://wp.me/posHB-7y In this screencast, Dr Feinstein proves the Baire Category Theorem for complete metric spaces - a countable intersection of dense, open subsets of a complete metric space must be dense.
This material is suitable for those with a knowledge of metric space topology and, in particular, dense subsets and complete metrics.

**Keywords:**
maths, mathematics, level 3

**Author:**
The University of Nottingham

**Category:**
Mathematics

**Web page:**
http://www.nottingham.ac.uk/mathematics

**Thumbnail:**
http://itunesu.nottingham.ac.uk/media/Mathematics/Mathematics3/images/maths-level3.jpg

**Track media file:**
http://itunesu.nottingham.ac.uk/media/Mathematics/Mathematics3/video/FUN-010210.mp4

**Duration:**
45:12

**Size:**
21193162

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