A Historical Gem from Vito Volterra

by William Dunham (Hanover College and Ohio State University)

Mathematics Magazine
October, 1990

Subject classification(s): Analysis | Real Analysis | Continuity

A recounting of an elementary proof by Volterra of a theorem that implies there cannot exist a function continuous at each irrational point in $$(0,1)$$ and discontinuous at each rational point.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.