Amar Kumar Banerjee, Indrajit Debnath
Published 2022-05-06Version 1
In this paper we have introduced the notion of $\mathcal{I}$-density topology in the space of reals introducing the notions of upper $\mathcal{I}$-density and lower $\mathcal{I}$-density where $\mathcal{I}$ is an ideal of subsets of the set of natural numbers. We have further studied certain separation axioms of this topology.
On some topology generated by $\mathcal{I}$-density function
On sparse set topology using ideals in the space of reals
On a generalized density point defined by families of sequences involving ideals
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