Abstract
We introduce a new notion of weakly $M$-open functions as functions defined between sets satisfying some minimal conditions. We obtain some characterizations and several properties of such functions. The functions enable us to formulate a unified theory of weak openness [36], weak semi-openness [10], weak preopenness [11], and weak $\beta$-openness [9].
Citation
Takashi Noiri. Valeriu Popa. "A Unified Theory of Weakly Open Functions." Missouri J. Math. Sci. 18 (3) 179 - 196, October 2006. https://doi.org/10.35834/2006/1803179
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