what is the cardinality of the injective functuons from R to R?
lets say A={he injective functuons from R to R}
obviously, A<= $2^א$
I have no Idea from which group I have to find an injective function to A to show (The Cantor-Schroeder-Bernstein theorem) that A=> $2^א$
Tuesday, December 25, 2018
elementary set theory - what is the cardinality of the injective functuons from R to R?
Subscribe to:
Post Comments (Atom)
-
So if I have a matrix and I put it into RREF and keep track of the row operations, I can then write it as a product of elementary matrices. ...
-
I am asked to prove the density of irrationals in $\mathbb{R}$. I understand how to do this by proving the density of $\mathbb{Q}$ first, na...
-
Can someone just explain to me the basic process of what is going on here? I understand everything until we start adding 1's then after ...
No comments:
Post a Comment