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

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

doi:10.4995/agt.2013.1622

Authors

J.K. Kohli University of Delhi
D. Singh University of Delhi
Jeetendra Aggarwal University of Delhi
Manoj Rana University of Delhi

DOI:

https://doi.org/10.4995/agt.2013.1622

Keywords:

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

Abstract

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.

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Author Biographies

J.K. Kohli, University of Delhi

Department of Mathematics, Hindu College, University of Delhi, Delhi 110 007, India

D. Singh, University of Delhi

Department of Mathematics, Sri Aurobindo College, University of Delhi-South Campus, Delhi 110 017, India

Jeetendra Aggarwal, University of Delhi

Department of Mathematics, University of Delhi, Delhi 110 007, India

Manoj Rana, University of Delhi

Department of Mathematics, University of Delhi, Delhi 110 007, India

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