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A unified approach to continuous and certain non-continuous functions II

Published online by Cambridge University Press:  17 April 2009

J.K. Kohli
J.K. Kohli
Affiliation:
Department of Mathematics, Hindu College, University of Delhi, Delhi - 110007, India
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Abstract

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A unified theory of continuous and certain non-continuous functions, initiated in an earlier paper, is further elaborated. The proposed theory provides a common platform for dealing simultaneously with continuous functions and a host of non-continuous functions including lower (upper) semicontinuous functions, almost continuous functions, weakly continuous functions (encountered in functional analysis), c-continuous functions, δ-continuous functions, semiconnected functions, H-continuous functions s-continuous functions, ε-continuous functions of Klee and several other variants of continuity.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 1 , February 1990 , pp. 57 - 74
Copyright
Copyright © Australian Mathematical Society 1990

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