On sparse set topology using ideals in the space of reals
Abstract
In this paper we have introduced the notion of I-sparse set in the space of reals and explored some properties of the family of I-sparse sets. Thereafter we have induced a topology namely I-sparse set topology in the space of reals and it has been observed that this topology is finer than I-density topology introduced by Banerjee and Debnath in banerjee 4. We further studied some salient properties of this topology.
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