## $$I$$ 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.)

### Keywords:

condition (AP); $$I$$-limit point; $$I$$-cluster point
Full Text: