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QUASI PERFECTLY CONTINUOUS FUNCTIONS AND THEIR FUNCTION SPACES


J. K. KOHLI 1, D. SINGH 2, B. K. TYAGI 3
1. Department of Mathematics, Hindu college, University of Delhi, Delhi-110007, INDIA, e-mail: jk_kohli@yahoo.com
2. Department of Mathematics, Sri Aurobindo college, University of Delhi, Delhi-110017, INDIA, e-mail:dstopology@rediffmail.com
3. Department of Mathematics, A.R.S.D.college, University of Delhi, Delhi-110021, INDIA, e-mail:brijkishore.tyagi@gmail.com

Issue:

SSRSMI, Number 2, Volume XXI

Section:

Volume 21, Number 2

Abstract:

A new class of functions called ‘quasi perfectly continuous functions’ is introduced. Basic properties of quasi perfectly continuous functions are studied and their place in the hierarchy of variants of continuity, that already exist in the literature, is elaborated. The notion of quasi perfect continuity, in general is independent of continuity, but coincides with perfect continuity (Indian J. Pure Appl. Math. 15(3) (1984), 241-250), a sig-nificantly strong form of continuity, if the range space is regular.

Keywords:

perfectly continuous function, (almost) z-supercontinuous function, D_ δ-supercontinuous function, strongly θ-continuous function, quasi-partition topology, Alexandroff space ( ≡ saturated space).

Code [ID]:

SSRSMI201102V21S01A0003 [0003459]

Full paper:

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