• ON STRONGER FORMS OF IRRESOLUTE FUNCTIONS, CONTINUOUS FUNCTIONS AND QUOTIENT MAPPINGS

M. VIGNESHWARAN, K. BABY*

Abstract


In this paper we introduce stronger forms of continuous maps and irresolute maps and study the relationship between them.  We also introduce a new class of quotient map namely β*gα-quotient map and investigate the properties in terms of composition and restriction. Further, we introduce strongly β*gα-quotient maps and study the relationship with weak and strong forms of open maps.


Keywords


strongly-β*gα-irresolute, almost β*gα-continuous, almost β*gα-irresolute, completely β*gα-continuous, completely β*gα-irresolute, perfectly β*gα-irresolute, perfectly contra β*gα-irresolute, β*gα-quotient map, almost β*gα-quotient map and strongly β*gα-qu

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