On a new class of continuity via rare sets
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Pontificia Universidad Católica del Perú
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Abstract
The notion of rare continuity was introduced by Popa {15} as a new generalization of weak continuity {7}. In this paper, we introduce a new class of functions called rarely pre- θ -continuous functions as a new generalization of the class of strongly θ -precontinuous functions and investigate some of its fundamental properties.
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Rare Set, Pre-Θ-Open, Rarely Continuous, Rarely Almost Compact
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