Rings of functions whose closure of discontinuity set is in an ideal of closed sets

Amrita Dey, Sudip Kumar Acharyya, Sagarmoy Bag +1

Let $\mathcal{P}$ be an ideal of closed subsets of a topological space $X$. Consider the ring, $C(X{)}_{\mathcal{P}}$ of real valued functions on $X$ whose closure of discontinuity set…