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\(I\) and \(I^*\)-convergence in topological spaces. (English) Zbl 1111.40001

Summary: We extend the idea of \(I\)-convergence and \(I^*\)-convergence of sequences to a topological space and derive several basic properties of these concepts in the topological space.

MSC:

40A05 Convergence and divergence of series and sequences
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
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