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SOOCHOW JOURNAL OF MATHEMATICS

Volume 33, No. 4, pp. 679-690, October 2007




ON TOTAL $ \omega$-CONTINUITY, STRONG $ \omega$-CONTINUITY

AND CONTRA $ \omega$-CONTINUITY


BY


N. RAJESH




Abstract. In this paper, $ \omega$-closed sets and $ \omega$-open sets are used to define and investigate a new class of functions. Relationships between this new class and other classes of functions are established.

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Received April 22, 2006; revised October 25, 2006; January 4, 2007; January 12, 2007.

AMS Subject Classification. 54C10.

Key words. totally continuous functions, totally $ \omega$-continuous functions, strongly $ \omega$-continuous functions, contra $ \omega$-continuous functions, contra pre $ \omega$-open functions, $ \omega^*$-homeomorphisms, contra $ \omega^*$-homeomorphisms, preopen sets, semi-open sets.