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 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'''. | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
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Revision as of 20:41, March 15, 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.