I have this example in my text book:
Prove that (0,1]~(1,3):
Here is the answer provided:
We define two bijections:
f: (0,1]->(0,1) and g: (0,1)->(1,3), with
the word after x in the third row means "else" in English.
Can anyone explain how this thing got solved?
I'm sorry I made a mistake. Its not about cardinal numbers, its probably about sets, but not sure cause I don't have the title written in the book.
And for the rest, this is the way it is solved.
As a small primer, there is another example which is solved this way:
Prove that (0,1)~(1,3) :
We define a bijection f: (0,1)~(1,3) with f(x)=2x+1
Thats all i got.