Pseudo perfectly continuous functions and closedness/compactness of their function spaces

• Kohli, J.K. ^[1] ; Singh, D. ^[1] ; Aggarwal, Jeetendra ^[1] ; Rana, Manoj ^[1]
  1. [1] University of Delhi

     University of Delhi

     India

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 14, Nº. 1, 2013, págs. 115-134
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • A new class of functions called 'pseudo perfectly continuous' functions is introduced. Their place in the hierarchy of variants of continuity which already exist in the literature is highlighted. The interplay between topological properties and pseudo perfect continuity is investigated. Function spaces of pseudo perfectly continuous functions are considered and sufficient conditions for their closedness and compactness in the topology of pointwise convergence are formulated.