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CERTAIN GENERALIZATION OF SUPERCONTINUITY/δ-CONTINUITY


D. SINGH AND J. K. KOHLI
1. Department of Mathematics, Sri Aurobindo college, University of
Delhi, Delhi-110017, INDIA, e-mail: dstopology@rediffmail.com
2. Department of Mathematics, Hindu college, University of Delhi,
Delhi-110007, INDIA, e-mail: jk kohli@yahoo.co.in

Issue:

SSRSMI, Number 2, Volume XXII

Section:

Volume 22, Number 2

Abstract:

Two generalizations of supercontinuous functions (Indian J. Pure Appl. Maths. 13(1982), 229-236) and δ -continuous functions (J. Korean Math. Soc. 16(1980), 161-166) are introduced. Several properties of these generalizations and their relationships with other variants of continuity in the literature are investigated. These

new variants of supercontinuity / δ -continuity also generalize certain forms of (almost) strong θ-continuity (J. Korean Math. Soc. 18(1981), 21-28; Indian J. Pure Appl. Maths. 15(1) (1984), 1-8).

Keywords:

supercontinuous function, δ -continuous function, d_ δ -map, quasi θ -continuous function, regular G_ δ -set, regular G_ δ -embedded, δ -partition topology, D_ δ T0-space, δ -completely regular space, δ θ -closed graph, D_ δ -compact space, extremally disconnected space.

Code [ID]:

SSRSMI20120222V22S01A0012 [0003805]

Full paper:

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