$U$-topology and $m$-topology on the ring of Measurable Functions, generalized and revisited

Pratip Nandi, Atasi Deb Ray, Sudip Kumar Acharyya

Let $\mathcal{M}(X,\mathcal{A})$ be the ring of all real valued measurable functions defined over the measurable space $(X,\mathcal{A})$. Given an ideal $I$ in $\mathcal{M}(X,\math…