Available online
Description
This programme introduces the various definitions of continuity which motivated the original definition of a topological space and, after examination of the transition to this definition in terms o...f category theory, it revises the different topological properties that have been discussed previously in the course. The final property - the fixed point property - is used to distinguish between the sphere (which doesn't have the property) and the disc (which, by Brouwer's Theorem, does).
This programme introduces the various definitions of continuity which motivated the original definition of a topological space and, after examination of the transition to this definition in terms o...f category theory, it revises the different topological properties that have been discussed previously in the course. The final property - the fixed point property - is used to distinguish between the sphere (which doesn't have the property) and the disc (which, by Brouwer's Theorem, does).
| Module code and title: | M202, Topics in pure mathematics |
|---|---|
| Item code: | M202; 30 |
| Recording date: | 12-04-1973 |
| First transmission date: | 10-09-1973 |
| Published: | 1973 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:22 |
| + Show more... | |
| Producer: | David Saunders |
| Contributors: | Ian Dey; Don Mansfield; Ray Zahar |
| Publisher: | BBC Open University |
| Keyword(s): | Brouwer Fixed Point Theorem; Category theory; Disc; Fixed point property; Sphere; Topology |
| Master spool number: | 6HT/71012 |
| Production number: | 00525_4054 |
| Videofinder number: | 3939 |
| Available to public: | no |
