| 11. | The cone on a space " X " is always contractible.
|
| 12. | Every contractible space is path connected and simply connected.
|
| 13. | There exists a contractible space on which acts freely.
|
| 14. | If is contractible then and are homotopy equivalent spaces.
|
| 15. | In fact, these satisfy the much stronger property of being locally contractible.
|
| 16. | In particular, cv _ n is also contractible.
|
| 17. | It makes no sense at this point to talk about the most contractible issue.
|
| 18. | The first is that of homotopy contractible complexes.
|
| 19. | A square is a contractible topological space, which implies that it has trivial homology.
|
| 20. | This results were later generalized to other contractible manifolds by Casson, Harer and Stern.
|
