Prof. G.P. Youvaraj
RIASM,
Chennai.
Title
Title
A Young Theorem of Volterra
Abstract
Abstract
In this talk we shall explore the concept of continuity on R. Continuity is the
most important concept in mathematics and applications of mathematics in science
and engineering. We shall explore some examples of functions with strange continuity
behavior. Motivated by this, we go into proving Volterra's Theorem on non existence
of a function that is continuous at every rational and discontinuous at every irrational
point in R.