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Abstract  

In [4], Dlaska introduced the class of almost rc-Lindelf sets and studied some basic properties of such sets. In this paper, we obtain further results concerning almost rc-Lindelf sets. We also introduce new concepts to obtain several mapping properties concerning almost rc-Lindelf sets and almost rc-Lindelf spaces. The property of being an almost rc-Lindelf set is invariant under functions which are slightly continuous and weakly θ-irresolute. It is also shown that the property of being an almost rc-Lindelf space is inverse invariant under functions which are weakly almost open, ω-regular open, and whose fibers are S-sets.

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