Difference between revisions of "Homotopy group"
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| − | 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 | + | '''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 class]]es, called '''homotopy classes'''. |
[[category: Topology]] | [[category: Topology]] | ||
{{stub2}} | {{stub2}} | ||
Revision as of 00:39, June 28, 2008
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.