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In this paper, a new class of continuous functions called R#-continuous maps in topological spaces are introduced and studied. Also some of their properties have been investigated. We also introduce R#-irresolute maps, strongly R#-continuous maps, perfectly R#-continuous maps and discussed some of their properties
R#-closed sets R#-open sets R#-continuous maps R#-irresolute maps strongly R#- continuous maps and perfectly R#-continuous maps.
R#-closed sets R#-open sets R#-continuous maps R#-irresolute maps strongly R#- continuous maps and perfectly R#-continuous maps.
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