Holonomy, extendibility, and the star universal cover of a topological groupoid

• Mucuk, Osman ^[1] ; Icen, Ilhan ^[2]
  1. [1] Erciyes University

     Erciyes University

     Turquía

     
  2. [2] Inonu University

     Inonu University

     Turquía

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 4, Nº. 1, 2003, págs. 79-89
• Idioma: inglés
• DOI: 10.4995/agt.2003.2011
• Enlaces
  • Texto completo
• Resumen

  • Let G be a groupoid and W be a subset of G which contains all the identities and has a topology. With some conditions on G and W, the pair (G;W) is called a locally topological groupoid. We explain a criterion for a locally topological groupoid to be extendible to a topological groupoid. In this paper we apply this result to get a topology on the monodromy groupoid MG which is the union of the universal covers of Gx's.

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