Amrita 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.GN2025

On the topology of convergence in measure, defined on the ring $M (X, A, μ)$

Amrita Dey

For a probability measure space $(X, A, μ)$ , the topology $M_{μ}$ , is defined on the ring $M (X, A, μ)$ of real-valued measurable functions on $(X,…

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''…

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

On the topology of convergence in measure, defined on the ring M(X,A,μ)

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

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

On the topology of convergence in measure, defined on the ring $M (X, A, μ)$