Sudip Kumar Acharyya

collaborators

3 papers

math.GN2023

$U$ -topology and $m$ -topology on the ring of Measurable Functions, generalized and revisited

Pratip Nandi, Atasi Deb Ray, Sudip Kumar Acharyya

Let $M (X, A)$ be the ring of all real valued measurable functions defined over the measurable space $(X, A)$ . Given an ideal $I$ in $\mathcal{M}(X,\math…

math.GN2023

Rings of functions whose closure of discontinuity set is in an ideal of closed sets

Amrita Dey, Sudip Kumar Acharyya, Sagarmoy Bag +1

Let $P$ be an ideal of closed subsets of a topological space $X$ . Consider the ring, $C (X)_{P}$ of real valued functions on $X$ whose closure of discontinuity set…

math.FA2022

A Generalization of $m$ -topology and $U$ -topology on rings of measurable functions

Soumyadip Acharyya, Rakesh Bharati, Atasi Deb Ray +1

For a measurable space ( $X, A$ ), let $M (X, A)$ be the corresponding ring of all real valued measurable functions and let $μ$ be a measure on ($X,\mathca…

U-topology and m-topology on the ring of Measurable Functions, generalized and revisited

Rings of functions whose closure of discontinuity set is in an ideal of closed sets

A Generalization of m-topology and U-topology on rings of measurable functions

$U$ -topology and $m$ -topology on the ring of Measurable Functions, generalized and revisited

A Generalization of $m$ -topology and $U$ -topology on rings of measurable functions