Central extension and coverings

• Wojtkowiak , Zdzislaw ^[1]
  1. [1] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 29, Nº 2, 1985, págs. 145-153
• Idioma: inglés
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• Resumen

  • The theory of central extensions has a lot of analogy with the theory of covering spaces. In this paper we show that the category of central extensions of a perfect group and a certain category of covering spaces of a certain space are equivalent (see Theorem 1). Then the facts about central extensions will follow from the corresponding facts about coverings (see Corollaries 1-3). We start with some definitions to make this work selfcontained.