# Abstact math, define a function

1. Apr 25, 2012

### beatka6

1. The problem statement, all variables and given/known data

Let T={0,1,2,3,4,5,6,7,8,9}, Let A={f| f:N→T} It means that each element A is a function with domain N and co-domain T. Let B={x element of R| 0≤x≤1}. Define a function G:A→B that is a surjection. Prove that the function is a surjection. Look at Cantor's diagonal proof to help with defining function G.

2. Relevant equations

3. The attempt at a solution
I know that it is going to be a piecewise function that assigns different decimal numbers from A to B. But I don t know exactly what kind of elements set A contains. Please help!!!

Last edited: Apr 25, 2012