Indrajit Debnath, Amar Kumar Banerjee
Published 2024-10-16Version 1
In this paper we have introduced the notion of $\mathcal{I}$-sparse set in the space of reals and explored some properties of the family of $\mathcal{I}$-sparse sets. Thereafter we have induced a topology namely $\mathcal{I}$-sparse set topology in the space of reals and it has been observed that this topology is finer than $\mathcal{I}-$density topology introduced by Banerjee and Debnath in \cite{banerjee 4}. We further studied some salient properties of this topology.
On density topology using ideals in the space of reals
On some topology generated by $\mathcal{I}$-density function
Orthocompactness and semi-stratifiability in the density topology
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