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A unified approach to continuous and certain non-continuous functions

Part of: Maps and general types of spaces defined by maps

Published online by Cambridge University Press:  09 April 2009

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

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A unified theory of continuous and certain non-continuous functions is proposed and developed. The proposed theory encompasses in one the theories of continuous functions, upper (lower) semicontinuous functions, almost continuous functions, c-continuous functions, c*-continuous functions, s-continuous functions, l-continuous functions, H-continuous functions, and the ε-continuous functions of Klee.

Keywords

P-continuous function almost continuous functionc-continuous functionc*-continuous functionH-continuous functions-continuous function1-continuous functionε-continuous functionsemiconnected functionconnected functionsemilocally Pspacesemilocally connected spacesemiregular spacesaturated spacequasi H-closedH-closed.

MSC classification

Secondary: 54C05: Continuous maps 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 3 , June 1990 , pp. 347 - 358
Copyright
Copyright © Australian Mathematical Society 1990

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