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On almost rc-Lindelöf sets

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Abstract

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

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science & Arts, The Hashemite University, P.O.Box 150459, Zarqa, 13115, Jordan

    M. S. Sarsak

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  1. M. S. Sarsak
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Sarsak, M.S. On almost rc-Lindelöf sets. Acta Mathematica Hungarica 100, 1–7 (2003). https://doi.org/10.1023/A:1024691730998

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