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

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

Autores

Kohli, J.K.
Singh, D.
Aggarwal, Jeetendra
Rana, Manoj

Directores

Unidades organizativas

Handle

https://riunet.upv.es/handle/10251/87472

Cita bibliográfica

Kohli, J.; Singh, D.; Aggarwal, J.; Rana, M. (2013). Pseudo perfectly continuous functions and closedness/compactness of their function spaces. Applied General Topology. 14(1):115-134. https://doi.org/10.4995/agt.2013.1622

Titulación

Resumen

[EN] 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.

Palabras clave

(quasi) Perfectly continuous function, Slightly continuous function, Pseudo-partition topology, Alexandroff space

ISSN

1576-9402

ISBN

Fuente

Applied General Topology

DOI

10.4995/agt.2013.1622