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Quasi-uniform convergence topologies on function spaces- Revisited

  • Autores: Wafa Khalaf Alqurash, Liaqat Ali Khan
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 18, Nº. 2, 2017, págs. 301-316
  • Idioma: inglés
  • DOI: 10.4995/agt.2017.7048
  • Enlaces
  • Resumen
    • Let X and Y be topological space and F(X,Y) the set of all functions from X into Y. We study various quasi-uniform convergence topologies U_{A} (A⊆P(X)) on F(X,Y) and their comparison in the setting of Y a quasi-uniform space. Further, we study U_{A}-closedness and right K-completeness properties of certain subspaces of generalized continuous functions in F(X,Y) in the case of Y a locally symmetric quasi-uniform space or a locally uniform space.

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