Let C0 be the set of all continuous functions from [a,b] to R
Let A = { f C0: f(q) is irrational for all q Q} where Q is the set of rational numbers.
The question is: Is A a thick subset of C0.
EDIT: The answer I had here was very wrong
Let C0 be the set of all continuous functions from [a,b] to R
Let A = { f C0: f(q) is irrational for all q Q} where Q is the set of rational numbers.
The question is: Is A a thick subset of C0.
EDIT: The answer I had here was very wrong