# 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 Contractible 2013-03-22 12:13:24 2013-03-22 12:13:24 RevBobo (4) RevBobo (4) 9 RevBobo (4) Definition msc 55Q52 HomotopyOfMaps HomotopyEquivalence HomotopyWithAContractibleDomain