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A Historical Gem from Vito Volterra

by William Dunham (Hanover College and Ohio State University)

This article originally appeared in:
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.


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