Convergence semigroup categories

• Richardson, Gary ^[1] ; Boustique, H. ^[1] ; Mikusinski, Piotr ^[1]
  1. [1] University of Central Florida

     University of Central Florida

     Estados Unidos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 11, Nº. 2, 2010, págs. 67-88
• Idioma: inglés
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• Resumen

  • Properties of the category consisting of all objects of the form (X, S, λ) are investigated, where X is a convergence space, S is a commutative semigroup, and λ: X × S → X is a continuous action. A “generalized quotient” of each object is defined without making the usual assumption that for each fixed g ∈ S, λ(., g) : X  → X is an injection.