On the topology of generalized quotients

• Burzyk, Józef ^[2] ; Ferens, Cezary ; Mikusinski, Piotr ^[1]
  1. [1] University of Central Florida

     University of Central Florida

     Estados Unidos

     
  2. [2] Technical University of Silesia
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 9, Nº. 2, 2008, págs. 205-212
• Idioma: inglés
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• Resumen

  • Generalized quotients are defined as equivalence classes of pairs (x, f), where x is an element of a nonempty set X and f is an element of a commutative semigroup G acting on X. Topologies on X and G induce a natural topology on B(X,G), the space of generalized quotients. Separation properties of this topology are investigated.