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Weak forms of faint continuity. (English) Zbl 0739.54003

Summary: A function \(f:X\to Y\) is said to be faintly continuous [P. E. Long and L. L. Herrington, Kyungpook Math. J. 22, 7-14 (1982; Zbl 0486.54009)] if \(f^{-1}(V)\) is open in \(X\) for every \(\theta\)-open set \(V\) of \(Y\). In this paper, the authors introduce and investigate three weaker forms of faint continuity which are called faint semi-continuity, faint precontinuity and faint \(\beta\)-continuity.

MSC:

54C08 Weak and generalized continuity

Citations:

Zbl 0486.54009
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