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http://hdl.handle.net/10662/15394
Title: | When is a group homomorphism a covering homomorphism? |
Authors: | Santos, José Carlos |
Keywords: | Cobertura;Homomorfismo de grupo;Grupo de Lie;Mapa abierto;Espinor;Covering;Group homomorphism;Lie group;Open map;Spinor |
Issue Date: | 2007 |
Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
Abstract: | Let G be a topological group which acts in a continuous and transitive way on a topological space M. Sufficient conditions are given that assure that, for every m ϵ M, the map from G onto M defined by 𝑔 ↦ 𝑔 m is an open map. Some consequences of the existence of these conditions, concerning spinor groups and covering homomorphisms between Lie groups, are obtained. |
URI: | http://hdl.handle.net/10662/15394 |
ISSN: | 0213-8743 |
Appears in Collections: | Extracta Mathematicae Vol. 22, nº 3 (2007) |
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2605-5686_22_3_325.pdf | 131,79 kB | Adobe PDF | View/Open |
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