Functors April 7, 2013

1. A contructor or apply method which for any type A, we can construct a type in the new category T[A]
2. map method which given a transformed type T[A] and a function that transforms A=>B we can construct T[B]

Using these 2 properties we can tranform a type T[A] to a T[B] using the map method with the following steps:

1. use the A=>B function to transform the A type inside the T[A] into a B
2. use the contructor(1st property) to create a T[B] using the B from step 1.

The result is that we can have a transormation from T[A]=>T[B] using the above properties.