Soumajit Dey

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20242026

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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…

Measure finite topology on the ring of measurable functions

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

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