Difference between revisions of "Homotopy group"
Jump to navigation
Jump to search
m |
|||
| Line 1: | Line 1: | ||
| − | Homotopy groups are tools used in [[algebraic topology]] to classify [[topological space]]s. The different ways to map an ''n-sphere'' continuously into a given topological space are divided into equivalence classes, called '''homotopy classes'''. | + | Homotopy groups are tools used in [[algebraic topology]] to classify [[topological space]]s. The different ways to map an '''n-sphere''' continuously into a given topological space are divided into equivalence classes, called '''homotopy classes'''. |
Revision as of 23:25, March 14, 2007
Homotopy groups are tools used in algebraic topology to classify topological spaces. The different ways to map an n-sphere continuously into a given topological space are divided into equivalence classes, called homotopy classes.