D. Mandal

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math.GN2026

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

Measure finite topology on the ring of measurable functions

Soumajit Dey, Sudip Kumar Acharyya, Dhananjoy Mandal

Let $M (X, A, I^¼)$ be the ring of all real-valued measurable functions constructed over a measure space $(X, A, I^¼)$ . A topology on $\mathcal{M}(X,\mathcal…

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 $I ¨ $ -ring if for each $E \in A$ ,…

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

Measure finite topology on the ring of measurable functions

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

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