On certain new notion of order Cauchy sequences, continuity in (l)-group


  • Sudip Kumar Pal Diamond Harbour Women's University
  • Sagar Chakraborty Jadavpur University




(l)-group, order quasi-Cauchy sequences, statistical ward continuity, uniform order continuity, statistical ward compact set, downward order continuity, upward order continuity


In this paper, we introduce the notions of order quasi-Cauchy sequences, downward and upward order quasi-Cauchy sequences, order half Cauchy sequences. Next we consider an associated idea of continuity namely, ward order continuous functions [2] and investigate certain interesting results. The entire investigation is performed in (l)-group setting to extend the recent results in [5, 6].


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How to Cite

S. K. Pal and S. Chakraborty, “On certain new notion of order Cauchy sequences, continuity in (l)-group”, Appl. Gen. Topol., vol. 23, no. 1, pp. 55–68, Apr. 2022.