Invariant Riemann integration on the Stone-Čech compactification of natural numbers
In this paper, the author constructs a Riemann integrable but discontinuous function on the Stone-Čech compactification of the discrete space \(N\) and studies some properties of integrable functions. In particular, a criterion similar to that of Du Bois-Reymond is obtained.
Riemann integrable discontinuous function
scientific article; zbMATH DE number 1206189