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

Lahiri, B. K.; Das, Pratulananda

Math. Bohem. 130, No. 2, 153-160 (2005).

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.)

Keywords:

condition (AP); \(I\)-limit point; \(I\)-cluster point