Abstract
Here, we investigate the existence of upper neighbours in the lattice of \(T_{1}\) Čech closure operators on a fixed set. In this paper, we prove that a first countable \(T_{1}\) closure operator has no upper neighbour in the lattice of Čech closure operators.
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The authors express gratitude to the referee(s) and editor(s) for their valuable comments and suggestions which improved this paper. The first author acknowledges the financial support from U.G.C., Govt of India.
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Kavitha, T., Kunheenkutty, M. & Ramachandran, P.T. Upper neighbours of Čech closure operators. Arab. J. Math. 8, 125–132 (2019). https://doi.org/10.1007/s40065-018-0208-6
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DOI: https://doi.org/10.1007/s40065-018-0208-6