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- Homotopy_group abstract "In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The first and simplest homotopy group is the fundamental group, which records information about loops in a space. Intuitively, homotopy groups record information about the basic shape, or holes, of a topological space.To define the n-th homotopy group, the base point preserving maps from an n-dimensional sphere (with base point) into a given space (with base point) are collected into equivalence classes, called homotopy classes. Two mappings are homotopic if one can be continuously deformed into the other. These homotopy classes form a group, called the n-th homotopy group, πn(X), of the given space X with base point. Topological spaces with differing homotopy groups are never equivalent (homeomorphic), but the converse is not true.The notion of homotopy of paths was introduced by Camille Jordan.".
- Homotopy_group thumbnail Torus.png?width=300.
- Homotopy_group wikiPageExternalLink nonab-a-t.html.
- Homotopy_group wikiPageExternalLink hdaweb2.htm.
- Homotopy_group wikiPageExternalLink a1.
- Homotopy_group wikiPageExternalLink ATpage.html.
- Homotopy_group wikiPageExternalLink 0804.3581.
- Homotopy_group wikiPageID "297506".
- Homotopy_group wikiPageRevisionID "605783188".
- Homotopy_group hasPhotoCollection Homotopy_group.
- Homotopy_group id "p/h047930".
- Homotopy_group title "Homotopy group".
- Homotopy_group subject Category:Homotopy_theory.
- Homotopy_group comment "In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The first and simplest homotopy group is the fundamental group, which records information about loops in a space.".
- Homotopy_group label "Groupe d'homotopie".
- Homotopy_group label "Grupo de homotopía".
- Homotopy_group label "Gruppi di omotopia".
- Homotopy_group label "Homotopiegroep".
- Homotopy_group label "Homotopiegruppe".
- Homotopy_group label "Homotopy group".
- Homotopy_group label "Гомотопические группы".
- Homotopy_group label "同倫群".
- Homotopy_group sameAs Homotopiegruppe.
- Homotopy_group sameAs Grupo_de_homotopía.
- Homotopy_group sameAs Groupe_d'homotopie.
- Homotopy_group sameAs Gruppi_di_omotopia.
- Homotopy_group sameAs 호모토피_군.
- Homotopy_group sameAs Homotopiegroep.
- Homotopy_group sameAs m.01rgk1.
- Homotopy_group sameAs Q1626416.
- Homotopy_group sameAs Q1626416.
- Homotopy_group wasDerivedFrom Homotopy_group?oldid=605783188.
- Homotopy_group depiction Torus.png.
- Homotopy_group isPrimaryTopicOf Homotopy_group.
