Quasi-uniform convergence topologies on function spaces- Revisited

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...

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Veröffentlicht in:Applied general topology Jg. 18; H. 2; S. 301 - 316
Hauptverfasser: Alqurash, Wafa Khalaf, Khan, Liaqat Ali
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Universitat Politècnica de València 01.01.2017
Schlagworte:
Quasi-uniform space, topology of quasi-uniform convergence on a family of sets, locally uniform spaces, right K-completeness, quasi-continuous functions, somewhat continuous functions
ISSN:1576-9402, 1989-4147
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Zusammenfassung: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.
ISSN:1576-9402
1989-4147
DOI:10.4995/agt.2017.7048