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

Amrita Dey, Sagarmoy Bag, Dhananjoy Mandal

Let $T^{\prime \prime }(X)$ and $T^{\prime }(X)$ 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''…