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The purpose of this paper is to introduce the notions of gwτ -continuous, gw ∗ τ continuous, gwτ -irresolute, and gw ∗ τ -irresolute functions by using gwτ -open sets between an associated wτ -spaces, and to study its characterizations and the relationships among them. AMS Subject Classification: 54A05, 54B10, 54C10

ON SEVERAL TYPES OF CONTINUOUS FUNCTIONS INDUCED BY GENERALIZED $w$-OPEN SETS IN ASSOCIATED $w$-SPACES