D. Mandal

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20232026

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math.GN2026

A special kind of topology on $C (X)$ lying between the point-open topology and the topology of uniform convergence

Soumajit Dey, Sudip Kumar Acharyya, and Dhananjoy Mandal

Let $X$ be a topological space. For each transfinite cardinal number $ℵ_{α}$ , we define a topology $C_{ℵ_{α}} (X)$ on the ring $C (X)$ . With $ℵ_{α} = ℵ_{0}$ , $C_{\aleph_α}(…

math.GN2025

Measure finite topology on the ring of measurable functions

Soumajit Dey, Sudip Kumar Acharyya, Dhananjoy Mandal

Let $M (X, A, μ)$ be the ring of all real-valued measurable functions constructed over a measure space $(X, A, μ)$ . A topology on $\mathcal{M}(X,\mathcal{A…

math.GN2025

A number of properties enjoyed by two specially constructed topologies on $C (X)$

Soumajit Dey, Sudip Kumar Acharyya, Dhananjoy Mandal

If $I$ is an ideal in the ring $C (X)$ of all real valued continuous functions defined over a Tychonoff space $X$ , then $X$ is called $I$ - $p se u d oco m p a c t$ if the set $X\setminus \big…

math.GN2025

The ring of real-valued functions which are continuous on a dense cozero set

Amrita Dey, Sagarmoy Bag, Dhananjoy Mandal

Let $T^{''} (X)$ and $T^{'} (X)$ denote the collections of all real-valued functions on $X$ which are continuous on a dense cozero set and on an open dense subset of $X$ respectively. $T''…

math.GN2024

Structure spaces and allied problems on a class of rings of measurable functions

Soumajit Dey, Sudip Kumar Acharyya, Dhananjoy Mandal

A ring $S (X, A)$ of real valued $A$ -measurable functions defined over a measurable space $(X, A)$ is called a $χ$ -ring if for each $E \in A$ ,…

math.GN2024

Algebraic properties of the ring $C (X)_{P}$

Amrita Dey, Sagarmoy Bag, Dhananjoy Mandal

Our aim is to study certain algebraic properties of the ring $C (X)_{P}$ of real-valued functions on $X$ whose closure of discontinuity set is in an ideal of closed sets. We…

A special kind of topology on C(X) lying between the point-open topology and the topology of uniform convergence

Measure finite topology on the ring of measurable functions

A number of properties enjoyed by two specially constructed topologies on C(X)

The ring of real-valued functions which are continuous on a dense cozero set

Structure spaces and allied problems on a class of rings of measurable functions

Algebraic properties of the ring C(X)P​

A special kind of topology on $C (X)$ lying between the point-open topology and the topology of uniform convergence

A number of properties enjoyed by two specially constructed topologies on $C (X)$

Algebraic properties of the ring $C (X)_{P}$