Abstract
We see that the real numbers system with the usual topology contains no minimal open sets. This observation instigates us to study topological spaces having no minimal and maximal open sets. We find that such topological spaces if connected are not cut-point spaces. We also characterize mean open sets in \(T_{1}\) connected topological spaces.
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The authors are grateful to the reviewers for some kind comments and suggestions toward a few modifications in the contents of the paper.
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Bagchi, K.B., Mukharjee, A. On maximal, minimal and mean open sets. Afr. Mat. 30, 291–296 (2019). https://doi.org/10.1007/s13370-018-0644-7
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DOI: https://doi.org/10.1007/s13370-018-0644-7