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

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. Fu...

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Bibliographic Details
Published in:	Applied general topology Vol. 14; no. 1; pp. 115 - 134
Main Authors:	Kohli, J.K., Singh, D., Aggarwal, Jeetendra, Rana, Manoj
Format:	Journal Article
Language:	English
Published:	Universitat Politècnica de València 01.01.2013
Subjects:	(quasi) Perfectly continuous function Alexandroff space Pseudo-partition topology Slightly continuous function
ISSN:	1576-9402, 1989-4147
Online Access:	Get full text
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Summary:	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.
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2013.1622