## 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

Zbl 0486.54009