4 papers · 1 filter
On sparse set topology using ideals in the space of reals
Indrajit Debnath, Amar Kumar Banerjee
In this paper we have introduced the notion of -sparse set in the space of reals and explored some properties of the family of -sparse sets. Thereafter we…
On a generalized density point defined by families of sequences involving ideals
Amar Kumar Banerjee, Indrajit Debnath
In this paper we have introduced the notion of -density point corresponding to the family of unbounded and -monotonic increasing positive real seque…
On some topology generated by -density function
Indrajit Debnath, Amar Kumar Banerjee
In this paper we have studied on -density function using the notion of -density, introduced by Banerjee and Debnath \cite{banerjee 4} where …
On density topology using ideals in the space of reals
Amar Kumar Banerjee, Indrajit Debnath
In this paper we have introduced the notion of -density topology in the space of reals introducing the notions of upper -density and lower -d…