Normal subobjects of topological groups and of topological semi-Abelian algebras |
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Authors: | Dominique Bourn |
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Institution: | Université du Littoral, Laboratoire de Mathématiques Pures et Appliquées, Bat. H. Poincaré, 50 Rue F. Buisson, BP 699, 62228 Calais, France |
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Abstract: | As any category Gp(E) of internal groups in a given category E, the category Gp(Top) of topological groups possesses the strong algebraic property of protomodularity which carries intrinsic notions of normal subobject and of centrality. Here we explicit and investigate these intrinsic notions in the category Gp(Top). We extend these results to any category TopT of topological semi-Abelian algebras. |
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Keywords: | 22A99 13J99 18C10 18D35 |
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