Bijection and set

jihyel
How can I show an explicit bijection between sets?
anyidea?

Last edited:

Homework Helper
You just write down a function. Do you know what the definition bijection is?

For example, if you want to show a bijection between A = {0, 1, 2, 3, 4} and B = {8, 9, 10, 11, 12} you could write
$$f: A \to B, f(a) = a + 8$$
(for finite sets, you can also write it out as: define f by f(0) = 8, f(1) = 9, ..., f(4) = 12).