contractible
A topological space
is said to be contractible if it is homotopy equivalent to a point. Equivalently, the space is contractible if a constant map is homotopic
to the identity map. A contractible space has a trivial fundamental group
.
| Title | contractible |
|---|---|
| Canonical name | Contractible |
| Date of creation | 2013-03-22 12:13:24 |
| Last modified on | 2013-03-22 12:13:24 |
| Owner | RevBobo (4) |
| Last modified by | RevBobo (4) |
| Numerical id | 9 |
| Author | RevBobo (4) |
| Entry type | Definition |
| Classification | msc 55Q52 |
| Related topic | HomotopyOfMaps |
| Related topic | HomotopyEquivalence |
| Related topic | HomotopyWithAContractibleDomain |