| dbo:abstract |
Die Zusammenhangskomponente der Eins ist ein Begriff aus der Theorie der topologischen Gruppen, der in Mathematik und Physik besonders in der Theorie der Lie-Gruppen Anwendung findet. (de) In mathematics, specifically group theory, the identity component of a group G refers to several closely related notions of the largest connected subgroup of G containing the identity element. In point set topology, the identity component of a topological group G is the connected component G0 of G that contains the identity element of the group. The identity path component of a topological group G is the path component of G that contains the identity element of the group. In algebraic geometry, the identity component of an algebraic group G over a field k is the identity component of the underlying topological space. The identity component of a group scheme G over a base scheme S is, roughly speaking, the group scheme G0 whose fiber over the point s of S is the connected component (Gs)0 of the fiber Gs, an algebraic group. (en) Składowa jedynki – dla danej grupy topologicznej składowa spójności zawierająca jedynkę grupy. Podobnie drogowa składowa jedynki grupy topologicznej jest drogowa składowa spójności grupy zawiera element neutralny grupy. (pl) |
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| rdfs:comment |
Die Zusammenhangskomponente der Eins ist ein Begriff aus der Theorie der topologischen Gruppen, der in Mathematik und Physik besonders in der Theorie der Lie-Gruppen Anwendung findet. (de) Składowa jedynki – dla danej grupy topologicznej składowa spójności zawierająca jedynkę grupy. Podobnie drogowa składowa jedynki grupy topologicznej jest drogowa składowa spójności grupy zawiera element neutralny grupy. (pl) In mathematics, specifically group theory, the identity component of a group G refers to several closely related notions of the largest connected subgroup of G containing the identity element. In point set topology, the identity component of a topological group G is the connected component G0 of G that contains the identity element of the group. The identity path component of a topological group G is the path component of G that contains the identity element of the group. (en) |
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Zusammenhangskomponente der Eins (de) Identity component (en) Składowa jedynki (pl) |
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