Soumajit Dey

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math.GN2026

A topological view of algebraic structures in $C_{p} (X)$

Pratip Nandi, Soumajit Dey, Amrita Dey +1

This manuscript focuses on the topological behaviour of algebraic structures in $C_{p} (X)$ . Closure of ideals in $C_{p} (X)$ is determined and are used to characterise various topologic…

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.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.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 topological view of algebraic structures in Cp​(X)

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)

Measure finite topology on the ring of measurable functions

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

A topological view of algebraic structures in $C_{p} (X)$

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 $C (X)$