MAST30026 Lecture 8: Compactness I

Published: 16 August 2018
on channel: metauni
1,145
20

This is the first of several lectures on compactness. I recalled the proof of the Bolzano-Weierstrass theorem, defined sequential compactness in metric spaces and the characterisation of continuity of functions in terms of limits, and proved that the image of a compact set is compact.

Lecture notes: http://therisingsea.org/notes/mast300...
The class webpage: http://therisingsea.org/post/mast30026/

Have questions? I hold free public online office hours for this class, every week, all year. Drop in and say Hi! For details see the class webpage.


Watch video MAST30026 Lecture 8: Compactness I online without registration, duration hours minute second in high quality. This video was added by user metauni 16 August 2018, don't forget to share it with your friends and acquaintances, it has been viewed on our site 1,145 once and liked it 20 people.