A topological spaceMathworldPlanetmath is said to be contractible if it is homotopy equivalent to a point. Equivalently, the space is contractible if a constant map is homotopicMathworldPlanetmathPlanetmath to the identity map. A contractible space has a trivial fundamental groupMathworldPlanetmathPlanetmath.

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